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Finding the Third Proportional to 34,489.13 and 75,751.88

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Solution

The third proportional to 34,489.13 and 75,751.88 is: 166,381.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,489.13 : 75,751.88 = 75,751.88 : x
  2. Step 2: Convert to fraction form
    34,489.13/75,751.88 = 75,751.88/x
  3. Step 3: Cross multiply
    34,489.13x = 75,751.88 × 75,751.88
  4. Step 4: Simplify right side
    34,489.13x = 5,738,346,566.02
  5. Step 5: Solve for x
    x = 5,738,346,566.02/34,489.13
  6. Step 6: Final answer
    x = 166,381.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.