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Finding the Third Proportional to 37,769.50 and 55,610

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Solution

The third proportional to 37,769.50 and 55,610 is: 81,877.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,769.50 : 55,610 = 55,610 : x
  2. Step 2: Convert to fraction form
    37,769.50/55,610 = 55,610/x
  3. Step 3: Cross multiply
    37,769.50x = 55,610 × 55,610
  4. Step 4: Simplify right side
    37,769.50x = 3,092,472,100
  5. Step 5: Solve for x
    x = 3,092,472,100/37,769.50
  6. Step 6: Final answer
    x = 81,877.50

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.