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Finding the Third Proportional to 37,160.44 and 65,593.13

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Solution

The third proportional to 37,160.44 and 65,593.13 is: 115,780.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,160.44 : 65,593.13 = 65,593.13 : x
  2. Step 2: Convert to fraction form
    37,160.44/65,593.13 = 65,593.13/x
  3. Step 3: Cross multiply
    37,160.44x = 65,593.13 × 65,593.13
  4. Step 4: Simplify right side
    37,160.44x = 4,302,458,047.27
  5. Step 5: Solve for x
    x = 4,302,458,047.27/37,160.44
  6. Step 6: Final answer
    x = 115,780.61

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.