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Finding the Third Proportional to 36,737 and 54,565

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Solution

The third proportional to 36,737 and 54,565 is: 81,044.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,737 : 54,565 = 54,565 : x
  2. Step 2: Convert to fraction form
    36,737/54,565 = 54,565/x
  3. Step 3: Cross multiply
    36,737x = 54,565 × 54,565
  4. Step 4: Simplify right side
    36,737x = 2,977,339,225
  5. Step 5: Solve for x
    x = 2,977,339,225/36,737
  6. Step 6: Final answer
    x = 81,044.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.