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Finding the Third Proportional to 37,527 and 52,779

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Solution

The third proportional to 37,527 and 52,779 is: 74,229.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,527 : 52,779 = 52,779 : x
  2. Step 2: Convert to fraction form
    37,527/52,779 = 52,779/x
  3. Step 3: Cross multiply
    37,527x = 52,779 × 52,779
  4. Step 4: Simplify right side
    37,527x = 2,785,622,841
  5. Step 5: Solve for x
    x = 2,785,622,841/37,527
  6. Step 6: Final answer
    x = 74,229.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.