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Finding the Third Proportional to 40,332.75 and 83,255.25

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Solution

The third proportional to 40,332.75 and 83,255.25 is: 171,856.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,332.75 : 83,255.25 = 83,255.25 : x
  2. Step 2: Convert to fraction form
    40,332.75/83,255.25 = 83,255.25/x
  3. Step 3: Cross multiply
    40,332.75x = 83,255.25 × 83,255.25
  4. Step 4: Simplify right side
    40,332.75x = 6,931,436,652.56
  5. Step 5: Solve for x
    x = 6,931,436,652.56/40,332.75
  6. Step 6: Final answer
    x = 171,856.29

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.