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Finding the Third Proportional to 36,081 and 52,725

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Solution

The third proportional to 36,081 and 52,725 is: 77,046.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,081 : 52,725 = 52,725 : x
  2. Step 2: Convert to fraction form
    36,081/52,725 = 52,725/x
  3. Step 3: Cross multiply
    36,081x = 52,725 × 52,725
  4. Step 4: Simplify right side
    36,081x = 2,779,925,625
  5. Step 5: Solve for x
    x = 2,779,925,625/36,081
  6. Step 6: Final answer
    x = 77,046.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.