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Finding the Third Proportional to 15,298 and 22,499

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Solution

The third proportional to 15,298 and 22,499 is: 33,089.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,298 : 22,499 = 22,499 : x
  2. Step 2: Convert to fraction form
    15,298/22,499 = 22,499/x
  3. Step 3: Cross multiply
    15,298x = 22,499 × 22,499
  4. Step 4: Simplify right side
    15,298x = 506,205,001
  5. Step 5: Solve for x
    x = 506,205,001/15,298
  6. Step 6: Final answer
    x = 33,089.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.