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Finding the Third Proportional to 14,650 and 31,729

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Solution

The third proportional to 14,650 and 31,729 is: 68,718.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,650 : 31,729 = 31,729 : x
  2. Step 2: Convert to fraction form
    14,650/31,729 = 31,729/x
  3. Step 3: Cross multiply
    14,650x = 31,729 × 31,729
  4. Step 4: Simplify right side
    14,650x = 1,006,729,441
  5. Step 5: Solve for x
    x = 1,006,729,441/14,650
  6. Step 6: Final answer
    x = 68,718.73

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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.