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Finding the Third Proportional to 37,545.75 and 56,207.25

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Solution

The third proportional to 37,545.75 and 56,207.25 is: 84,144.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,545.75 : 56,207.25 = 56,207.25 : x
  2. Step 2: Convert to fraction form
    37,545.75/56,207.25 = 56,207.25/x
  3. Step 3: Cross multiply
    37,545.75x = 56,207.25 × 56,207.25
  4. Step 4: Simplify right side
    37,545.75x = 3,159,254,952.56
  5. Step 5: Solve for x
    x = 3,159,254,952.56/37,545.75
  6. Step 6: Final answer
    x = 84,144.14

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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.