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Finding the Third Proportional to 32,576.06 and 71,385.75

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Solution

The third proportional to 32,576.06 and 71,385.75 is: 156,431.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,576.06 : 71,385.75 = 71,385.75 : x
  2. Step 2: Convert to fraction form
    32,576.06/71,385.75 = 71,385.75/x
  3. Step 3: Cross multiply
    32,576.06x = 71,385.75 × 71,385.75
  4. Step 4: Simplify right side
    32,576.06x = 5,095,925,303.06
  5. Step 5: Solve for x
    x = 5,095,925,303.06/32,576.06
  6. Step 6: Final answer
    x = 156,431.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.