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Finding the Third Proportional to 11,691.28 and 25,569.56

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Solution

The third proportional to 11,691.28 and 25,569.56 is: 55,922.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.28 : 25,569.56 = 25,569.56 : x
  2. Step 2: Convert to fraction form
    11,691.28/25,569.56 = 25,569.56/x
  3. Step 3: Cross multiply
    11,691.28x = 25,569.56 × 25,569.56
  4. Step 4: Simplify right side
    11,691.28x = 653,802,526.44
  5. Step 5: Solve for x
    x = 653,802,526.44/11,691.28
  6. Step 6: Final answer
    x = 55,922.23

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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.