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Finding the Third Proportional to 22,539.38 and 52,177.50

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Solution

The third proportional to 22,539.38 and 52,177.50 is: 120,788.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,539.38 : 52,177.50 = 52,177.50 : x
  2. Step 2: Convert to fraction form
    22,539.38/52,177.50 = 52,177.50/x
  3. Step 3: Cross multiply
    22,539.38x = 52,177.50 × 52,177.50
  4. Step 4: Simplify right side
    22,539.38x = 2,722,491,506.25
  5. Step 5: Solve for x
    x = 2,722,491,506.25/22,539.38
  6. Step 6: Final answer
    x = 120,788.24

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.