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Finding the Third Proportional to 37,429.59 and 80,854.45

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Solution

The third proportional to 37,429.59 and 80,854.45 is: 174,659.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,429.59 : 80,854.45 = 80,854.45 : x
  2. Step 2: Convert to fraction form
    37,429.59/80,854.45 = 80,854.45/x
  3. Step 3: Cross multiply
    37,429.59x = 80,854.45 × 80,854.45
  4. Step 4: Simplify right side
    37,429.59x = 6,537,442,590.14
  5. Step 5: Solve for x
    x = 6,537,442,590.14/37,429.59
  6. Step 6: Final answer
    x = 174,659.73

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.