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Finding the Third Proportional to 45,987.75 and 62,101.69

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Solution

The third proportional to 45,987.75 and 62,101.69 is: 83,861.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,987.75 : 62,101.69 = 62,101.69 : x
  2. Step 2: Convert to fraction form
    45,987.75/62,101.69 = 62,101.69/x
  3. Step 3: Cross multiply
    45,987.75x = 62,101.69 × 62,101.69
  4. Step 4: Simplify right side
    45,987.75x = 3,856,619,590.35
  5. Step 5: Solve for x
    x = 3,856,619,590.35/45,987.75
  6. Step 6: Final answer
    x = 83,861.89

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.