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Finding the Third Proportional to 32,880.38 and 71,294.06

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Solution

The third proportional to 32,880.38 and 71,294.06 is: 154,585.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,880.38 : 71,294.06 = 71,294.06 : x
  2. Step 2: Convert to fraction form
    32,880.38/71,294.06 = 71,294.06/x
  3. Step 3: Cross multiply
    32,880.38x = 71,294.06 × 71,294.06
  4. Step 4: Simplify right side
    32,880.38x = 5,082,843,347.75
  5. Step 5: Solve for x
    x = 5,082,843,347.75/32,880.38
  6. Step 6: Final answer
    x = 154,585.93

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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.