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Finding the Third Proportional to 36,580 and 54,654

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Solution

The third proportional to 36,580 and 54,654 is: 81,658.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,580 : 54,654 = 54,654 : x
  2. Step 2: Convert to fraction form
    36,580/54,654 = 54,654/x
  3. Step 3: Cross multiply
    36,580x = 54,654 × 54,654
  4. Step 4: Simplify right side
    36,580x = 2,987,059,716
  5. Step 5: Solve for x
    x = 2,987,059,716/36,580
  6. Step 6: Final answer
    x = 81,658.28

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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.