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Finding the Third Proportional to 37,325.25 and 56,580.75

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Solution

The third proportional to 37,325.25 and 56,580.75 is: 85,769.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,325.25 : 56,580.75 = 56,580.75 : x
  2. Step 2: Convert to fraction form
    37,325.25/56,580.75 = 56,580.75/x
  3. Step 3: Cross multiply
    37,325.25x = 56,580.75 × 56,580.75
  4. Step 4: Simplify right side
    37,325.25x = 3,201,381,270.56
  5. Step 5: Solve for x
    x = 3,201,381,270.56/37,325.25
  6. Step 6: Final answer
    x = 85,769.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.