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Finding the Third Proportional to 6,499 and 15,713

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Solution

The third proportional to 6,499 and 15,713 is: 37,990.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499 : 15,713 = 15,713 : x
  2. Step 2: Convert to fraction form
    6,499/15,713 = 15,713/x
  3. Step 3: Cross multiply
    6,499x = 15,713 × 15,713
  4. Step 4: Simplify right side
    6,499x = 246,898,369
  5. Step 5: Solve for x
    x = 246,898,369/6,499
  6. Step 6: Final answer
    x = 37,990.21

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.