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Finding the Third Proportional to 31,497 and 51,552

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Solution

The third proportional to 31,497 and 51,552 is: 84,376.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,497 : 51,552 = 51,552 : x
  2. Step 2: Convert to fraction form
    31,497/51,552 = 51,552/x
  3. Step 3: Cross multiply
    31,497x = 51,552 × 51,552
  4. Step 4: Simplify right side
    31,497x = 2,657,608,704
  5. Step 5: Solve for x
    x = 2,657,608,704/31,497
  6. Step 6: Final answer
    x = 84,376.57

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.