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Finding the Third Proportional to 32,190.75 and 43,318.13

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Solution

The third proportional to 32,190.75 and 43,318.13 is: 58,291.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,190.75 : 43,318.13 = 43,318.13 : x
  2. Step 2: Convert to fraction form
    32,190.75/43,318.13 = 43,318.13/x
  3. Step 3: Cross multiply
    32,190.75x = 43,318.13 × 43,318.13
  4. Step 4: Simplify right side
    32,190.75x = 1,876,459,953.52
  5. Step 5: Solve for x
    x = 1,876,459,953.52/32,190.75
  6. Step 6: Final answer
    x = 58,291.90

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.