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Finding the Third Proportional to 41,515.03 and 58,456.69

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Solution

The third proportional to 41,515.03 and 58,456.69 is: 82,311.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,515.03 : 58,456.69 = 58,456.69 : x
  2. Step 2: Convert to fraction form
    41,515.03/58,456.69 = 58,456.69/x
  3. Step 3: Cross multiply
    41,515.03x = 58,456.69 × 58,456.69
  4. Step 4: Simplify right side
    41,515.03x = 3,417,184,313.47
  5. Step 5: Solve for x
    x = 3,417,184,313.47/41,515.03
  6. Step 6: Final answer
    x = 82,311.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.