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Finding the Third Proportional to 15,428 and 24,598

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Solution

The third proportional to 15,428 and 24,598 is: 39,218.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,428 : 24,598 = 24,598 : x
  2. Step 2: Convert to fraction form
    15,428/24,598 = 24,598/x
  3. Step 3: Cross multiply
    15,428x = 24,598 × 24,598
  4. Step 4: Simplify right side
    15,428x = 605,061,604
  5. Step 5: Solve for x
    x = 605,061,604/15,428
  6. Step 6: Final answer
    x = 39,218.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.