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Finding the Third Proportional to 37,155.38 and 57,121.88

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Solution

The third proportional to 37,155.38 and 57,121.88 is: 87,817.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,155.38 : 57,121.88 = 57,121.88 : x
  2. Step 2: Convert to fraction form
    37,155.38/57,121.88 = 57,121.88/x
  3. Step 3: Cross multiply
    37,155.38x = 57,121.88 × 57,121.88
  4. Step 4: Simplify right side
    37,155.38x = 3,262,908,603.52
  5. Step 5: Solve for x
    x = 3,262,908,603.52/37,155.38
  6. Step 6: Final answer
    x = 87,817.94

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.