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Finding the Third Proportional to 32,498.72 and 71,368.59

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Solution

The third proportional to 32,498.72 and 71,368.59 is: 156,728.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,498.72 : 71,368.59 = 71,368.59 : x
  2. Step 2: Convert to fraction form
    32,498.72/71,368.59 = 71,368.59/x
  3. Step 3: Cross multiply
    32,498.72x = 71,368.59 × 71,368.59
  4. Step 4: Simplify right side
    32,498.72x = 5,093,476,173.85
  5. Step 5: Solve for x
    x = 5,093,476,173.85/32,498.72
  6. Step 6: Final answer
    x = 156,728.52

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.