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Finding the Third Proportional to 32,820.19 and 71,580.59

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Solution

The third proportional to 32,820.19 and 71,580.59 is: 156,116.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,820.19 : 71,580.59 = 71,580.59 : x
  2. Step 2: Convert to fraction form
    32,820.19/71,580.59 = 71,580.59/x
  3. Step 3: Cross multiply
    32,820.19x = 71,580.59 × 71,580.59
  4. Step 4: Simplify right side
    32,820.19x = 5,123,780,283.16
  5. Step 5: Solve for x
    x = 5,123,780,283.16/32,820.19
  6. Step 6: Final answer
    x = 156,116.73

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.