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Finding the Third Proportional to 6,491 and 10,292

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Solution

The third proportional to 6,491 and 10,292 is: 16,318.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491 : 10,292 = 10,292 : x
  2. Step 2: Convert to fraction form
    6,491/10,292 = 10,292/x
  3. Step 3: Cross multiply
    6,491x = 10,292 × 10,292
  4. Step 4: Simplify right side
    6,491x = 105,925,264
  5. Step 5: Solve for x
    x = 105,925,264/6,491
  6. Step 6: Final answer
    x = 16,318.79

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