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Finding the Third Proportional to 25,251.75 and 52,143.75

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Solution

The third proportional to 25,251.75 and 52,143.75 is: 107,674.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,251.75 : 52,143.75 = 52,143.75 : x
  2. Step 2: Convert to fraction form
    25,251.75/52,143.75 = 52,143.75/x
  3. Step 3: Cross multiply
    25,251.75x = 52,143.75 × 52,143.75
  4. Step 4: Simplify right side
    25,251.75x = 2,718,970,664.06
  5. Step 5: Solve for x
    x = 2,718,970,664.06/25,251.75
  6. Step 6: Final answer
    x = 107,674.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.