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Finding the Third Proportional to 12,808.13 and 25,251.75

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Solution

The third proportional to 12,808.13 and 25,251.75 is: 49,784.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,808.13 : 25,251.75 = 25,251.75 : x
  2. Step 2: Convert to fraction form
    12,808.13/25,251.75 = 25,251.75/x
  3. Step 3: Cross multiply
    12,808.13x = 25,251.75 × 25,251.75
  4. Step 4: Simplify right side
    12,808.13x = 637,650,878.06
  5. Step 5: Solve for x
    x = 637,650,878.06/12,808.13
  6. Step 6: Final answer
    x = 49,784.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.