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Finding the Third Proportional to 41,134.39 and 61,432.49

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Solution

The third proportional to 41,134.39 and 61,432.49 is: 91,746.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,134.39 : 61,432.49 = 61,432.49 : x
  2. Step 2: Convert to fraction form
    41,134.39/61,432.49 = 61,432.49/x
  3. Step 3: Cross multiply
    41,134.39x = 61,432.49 × 61,432.49
  4. Step 4: Simplify right side
    41,134.39x = 3,773,950,616.43
  5. Step 5: Solve for x
    x = 3,773,950,616.43/41,134.39
  6. Step 6: Final answer
    x = 91,746.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.