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Finding the Third Proportional to 37,428.75 and 55,049.06

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Solution

The third proportional to 37,428.75 and 55,049.06 is: 80,964.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,428.75 : 55,049.06 = 55,049.06 : x
  2. Step 2: Convert to fraction form
    37,428.75/55,049.06 = 55,049.06/x
  3. Step 3: Cross multiply
    37,428.75x = 55,049.06 × 55,049.06
  4. Step 4: Simplify right side
    37,428.75x = 3,030,399,282.13
  5. Step 5: Solve for x
    x = 3,030,399,282.13/37,428.75
  6. Step 6: Final answer
    x = 80,964.48

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Why These Related Problems?

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