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Finding the Third Proportional to 14,432 and 31,024

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Solution

The third proportional to 14,432 and 31,024 is: 66,691.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,432 : 31,024 = 31,024 : x
  2. Step 2: Convert to fraction form
    14,432/31,024 = 31,024/x
  3. Step 3: Cross multiply
    14,432x = 31,024 × 31,024
  4. Step 4: Simplify right side
    14,432x = 962,488,576
  5. Step 5: Solve for x
    x = 962,488,576/14,432
  6. Step 6: Final answer
    x = 66,691.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.