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Finding the Third Proportional to 37,131.54 and 55,875.76

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Solution

The third proportional to 37,131.54 and 55,875.76 is: 84,082.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,131.54 : 55,875.76 = 55,875.76 : x
  2. Step 2: Convert to fraction form
    37,131.54/55,875.76 = 55,875.76/x
  3. Step 3: Cross multiply
    37,131.54x = 55,875.76 × 55,875.76
  4. Step 4: Simplify right side
    37,131.54x = 3,122,100,747.65
  5. Step 5: Solve for x
    x = 3,122,100,747.65/37,131.54
  6. Step 6: Final answer
    x = 84,082.18

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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.