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Finding the Third Proportional to 31,432 and 49,052

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Solution

The third proportional to 31,432 and 49,052 is: 76,549.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,432 : 49,052 = 49,052 : x
  2. Step 2: Convert to fraction form
    31,432/49,052 = 49,052/x
  3. Step 3: Cross multiply
    31,432x = 49,052 × 49,052
  4. Step 4: Simplify right side
    31,432x = 2,406,098,704
  5. Step 5: Solve for x
    x = 2,406,098,704/31,432
  6. Step 6: Final answer
    x = 76,549.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.