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Finding the Third Proportional to 32,400.28 and 71,028.28

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Solution

The third proportional to 32,400.28 and 71,028.28 is: 155,709.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,400.28 : 71,028.28 = 71,028.28 : x
  2. Step 2: Convert to fraction form
    32,400.28/71,028.28 = 71,028.28/x
  3. Step 3: Cross multiply
    32,400.28x = 71,028.28 × 71,028.28
  4. Step 4: Simplify right side
    32,400.28x = 5,045,016,737.33
  5. Step 5: Solve for x
    x = 5,045,016,737.33/32,400.28
  6. Step 6: Final answer
    x = 155,709.04

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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.