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Finding the Third Proportional to 32,329.13 and 50,113.69

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Solution

The third proportional to 32,329.13 and 50,113.69 is: 77,681.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,329.13 : 50,113.69 = 50,113.69 : x
  2. Step 2: Convert to fraction form
    32,329.13/50,113.69 = 50,113.69/x
  3. Step 3: Cross multiply
    32,329.13x = 50,113.69 × 50,113.69
  4. Step 4: Simplify right side
    32,329.13x = 2,511,381,674.85
  5. Step 5: Solve for x
    x = 2,511,381,674.85/32,329.13
  6. Step 6: Final answer
    x = 77,681.71

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.