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Finding the Third Proportional to 38,782 and 52,584

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Solution

The third proportional to 38,782 and 52,584 is: 71,297.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,782 : 52,584 = 52,584 : x
  2. Step 2: Convert to fraction form
    38,782/52,584 = 52,584/x
  3. Step 3: Cross multiply
    38,782x = 52,584 × 52,584
  4. Step 4: Simplify right side
    38,782x = 2,765,077,056
  5. Step 5: Solve for x
    x = 2,765,077,056/38,782
  6. Step 6: Final answer
    x = 71,297.95

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.