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Finding the Third Proportional to 41,182.45 and 62,643.45

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Solution

The third proportional to 41,182.45 and 62,643.45 is: 95,288.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,182.45 : 62,643.45 = 62,643.45 : x
  2. Step 2: Convert to fraction form
    41,182.45/62,643.45 = 62,643.45/x
  3. Step 3: Cross multiply
    41,182.45x = 62,643.45 × 62,643.45
  4. Step 4: Simplify right side
    41,182.45x = 3,924,202,341.77
  5. Step 5: Solve for x
    x = 3,924,202,341.77/41,182.45
  6. Step 6: Final answer
    x = 95,288.22

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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.