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Finding the Third Proportional to 25,428 and 59,402

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Solution

The third proportional to 25,428 and 59,402 is: 138,768.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,428 : 59,402 = 59,402 : x
  2. Step 2: Convert to fraction form
    25,428/59,402 = 59,402/x
  3. Step 3: Cross multiply
    25,428x = 59,402 × 59,402
  4. Step 4: Simplify right side
    25,428x = 3,528,597,604
  5. Step 5: Solve for x
    x = 3,528,597,604/25,428
  6. Step 6: Final answer
    x = 138,768.19

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.