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Finding the Third Proportional to 31,552 and 52,584

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Solution

The third proportional to 31,552 and 52,584 is: 87,635.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,552 : 52,584 = 52,584 : x
  2. Step 2: Convert to fraction form
    31,552/52,584 = 52,584/x
  3. Step 3: Cross multiply
    31,552x = 52,584 × 52,584
  4. Step 4: Simplify right side
    31,552x = 2,765,077,056
  5. Step 5: Solve for x
    x = 2,765,077,056/31,552
  6. Step 6: Final answer
    x = 87,635.56

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.