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Finding the Third Proportional to 11,656.41 and 25,175.18

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Solution

The third proportional to 11,656.41 and 25,175.18 is: 54,372.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.41 : 25,175.18 = 25,175.18 : x
  2. Step 2: Convert to fraction form
    11,656.41/25,175.18 = 25,175.18/x
  3. Step 3: Cross multiply
    11,656.41x = 25,175.18 × 25,175.18
  4. Step 4: Simplify right side
    11,656.41x = 633,789,672.30
  5. Step 5: Solve for x
    x = 633,789,672.30/11,656.41
  6. Step 6: Final answer
    x = 54,372.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.