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Finding the Third Proportional to 25,251.75 and 35,407.13

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Solution

The third proportional to 25,251.75 and 35,407.13 is: 49,646.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,251.75 : 35,407.13 = 35,407.13 : x
  2. Step 2: Convert to fraction form
    25,251.75/35,407.13 = 35,407.13/x
  3. Step 3: Cross multiply
    25,251.75x = 35,407.13 × 35,407.13
  4. Step 4: Simplify right side
    25,251.75x = 1,253,664,500.77
  5. Step 5: Solve for x
    x = 1,253,664,500.77/25,251.75
  6. Step 6: Final answer
    x = 49,646.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.