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Finding the Third Proportional to 37,275.75 and 56,778.75

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Solution

The third proportional to 37,275.75 and 56,778.75 is: 86,485.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,275.75 : 56,778.75 = 56,778.75 : x
  2. Step 2: Convert to fraction form
    37,275.75/56,778.75 = 56,778.75/x
  3. Step 3: Cross multiply
    37,275.75x = 56,778.75 × 56,778.75
  4. Step 4: Simplify right side
    37,275.75x = 3,223,826,451.56
  5. Step 5: Solve for x
    x = 3,223,826,451.56/37,275.75
  6. Step 6: Final answer
    x = 86,485.89

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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.