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Finding the Third Proportional to 14,517 and 31,491

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Solution

The third proportional to 14,517 and 31,491 is: 68,311.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,517 : 31,491 = 31,491 : x
  2. Step 2: Convert to fraction form
    14,517/31,491 = 31,491/x
  3. Step 3: Cross multiply
    14,517x = 31,491 × 31,491
  4. Step 4: Simplify right side
    14,517x = 991,683,081
  5. Step 5: Solve for x
    x = 991,683,081/14,517
  6. Step 6: Final answer
    x = 68,311.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.