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Finding the Third Proportional to 36,522 and 55,177.88

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Solution

The third proportional to 36,522 and 55,177.88 is: 83,363.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,522 : 55,177.88 = 55,177.88 : x
  2. Step 2: Convert to fraction form
    36,522/55,177.88 = 55,177.88/x
  3. Step 3: Cross multiply
    36,522x = 55,177.88 × 55,177.88
  4. Step 4: Simplify right side
    36,522x = 3,044,597,889.52
  5. Step 5: Solve for x
    x = 3,044,597,889.52/36,522
  6. Step 6: Final answer
    x = 83,363.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.