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Finding the Third Proportional to 11,880.42 and 17,456.13

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Solution

The third proportional to 11,880.42 and 17,456.13 is: 25,648.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,880.42 : 17,456.13 = 17,456.13 : x
  2. Step 2: Convert to fraction form
    11,880.42/17,456.13 = 17,456.13/x
  3. Step 3: Cross multiply
    11,880.42x = 17,456.13 × 17,456.13
  4. Step 4: Simplify right side
    11,880.42x = 304,716,572.77
  5. Step 5: Solve for x
    x = 304,716,572.77/11,880.42
  6. Step 6: Final answer
    x = 25,648.63

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.