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Finding the Third Proportional to 32,081.06 and 43,200.84

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Solution

The third proportional to 32,081.06 and 43,200.84 is: 58,174.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,081.06 : 43,200.84 = 43,200.84 : x
  2. Step 2: Convert to fraction form
    32,081.06/43,200.84 = 43,200.84/x
  3. Step 3: Cross multiply
    32,081.06x = 43,200.84 × 43,200.84
  4. Step 4: Simplify right side
    32,081.06x = 1,866,312,900.71
  5. Step 5: Solve for x
    x = 1,866,312,900.71/32,081.06
  6. Step 6: Final answer
    x = 58,174.91

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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.