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Finding the Third Proportional to 36,762 and 80,538

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Solution

The third proportional to 36,762 and 80,538 is: 176,442.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,762 : 80,538 = 80,538 : x
  2. Step 2: Convert to fraction form
    36,762/80,538 = 80,538/x
  3. Step 3: Cross multiply
    36,762x = 80,538 × 80,538
  4. Step 4: Simplify right side
    36,762x = 6,486,369,444
  5. Step 5: Solve for x
    x = 6,486,369,444/36,762
  6. Step 6: Final answer
    x = 176,442.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.