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Finding the Third Proportional to 37,140.75 and 55,888.50

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Solution

The third proportional to 37,140.75 and 55,888.50 is: 84,099.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,140.75 : 55,888.50 = 55,888.50 : x
  2. Step 2: Convert to fraction form
    37,140.75/55,888.50 = 55,888.50/x
  3. Step 3: Cross multiply
    37,140.75x = 55,888.50 × 55,888.50
  4. Step 4: Simplify right side
    37,140.75x = 3,123,524,432.25
  5. Step 5: Solve for x
    x = 3,123,524,432.25/37,140.75
  6. Step 6: Final answer
    x = 84,099.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.