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Finding the Third Proportional to 36,498 and 54,666

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Solution

The third proportional to 36,498 and 54,666 is: 81,877.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,498 : 54,666 = 54,666 : x
  2. Step 2: Convert to fraction form
    36,498/54,666 = 54,666/x
  3. Step 3: Cross multiply
    36,498x = 54,666 × 54,666
  4. Step 4: Simplify right side
    36,498x = 2,988,371,556
  5. Step 5: Solve for x
    x = 2,988,371,556/36,498
  6. Step 6: Final answer
    x = 81,877.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.