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Finding the Third Proportional to 15,259 and 31,499

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Solution

The third proportional to 15,259 and 31,499 is: 65,023.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,259 : 31,499 = 31,499 : x
  2. Step 2: Convert to fraction form
    15,259/31,499 = 31,499/x
  3. Step 3: Cross multiply
    15,259x = 31,499 × 31,499
  4. Step 4: Simplify right side
    15,259x = 992,187,001
  5. Step 5: Solve for x
    x = 992,187,001/15,259
  6. Step 6: Final answer
    x = 65,023.07

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.