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Finding the Third Proportional to 42,894.56 and 65,617.59

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Solution

The third proportional to 42,894.56 and 65,617.59 is: 100,377.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,894.56 : 65,617.59 = 65,617.59 : x
  2. Step 2: Convert to fraction form
    42,894.56/65,617.59 = 65,617.59/x
  3. Step 3: Cross multiply
    42,894.56x = 65,617.59 × 65,617.59
  4. Step 4: Simplify right side
    42,894.56x = 4,305,668,609.54
  5. Step 5: Solve for x
    x = 4,305,668,609.54/42,894.56
  6. Step 6: Final answer
    x = 100,377.96

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.