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Finding the Third Proportional to 32,794.88 and 71,138.25

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Solution

The third proportional to 32,794.88 and 71,138.25 is: 154,312.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,794.88 : 71,138.25 = 71,138.25 : x
  2. Step 2: Convert to fraction form
    32,794.88/71,138.25 = 71,138.25/x
  3. Step 3: Cross multiply
    32,794.88x = 71,138.25 × 71,138.25
  4. Step 4: Simplify right side
    32,794.88x = 5,060,650,613.06
  5. Step 5: Solve for x
    x = 5,060,650,613.06/32,794.88
  6. Step 6: Final answer
    x = 154,312.24

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.