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Finding the Third Proportional to 27,780.38 and 61,122.75

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Solution

The third proportional to 27,780.38 and 61,122.75 is: 134,483.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,780.38 : 61,122.75 = 61,122.75 : x
  2. Step 2: Convert to fraction form
    27,780.38/61,122.75 = 61,122.75/x
  3. Step 3: Cross multiply
    27,780.38x = 61,122.75 × 61,122.75
  4. Step 4: Simplify right side
    27,780.38x = 3,735,990,567.56
  5. Step 5: Solve for x
    x = 3,735,990,567.56/27,780.38
  6. Step 6: Final answer
    x = 134,483.09

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.