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Finding the Third Proportional to 6,499 and 15,332

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Solution

The third proportional to 6,499 and 15,332 is: 36,170.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499 : 15,332 = 15,332 : x
  2. Step 2: Convert to fraction form
    6,499/15,332 = 15,332/x
  3. Step 3: Cross multiply
    6,499x = 15,332 × 15,332
  4. Step 4: Simplify right side
    6,499x = 235,070,224
  5. Step 5: Solve for x
    x = 235,070,224/6,499
  6. Step 6: Final answer
    x = 36,170.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.