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Finding the Third Proportional to 11,732.34 and 25,307.44

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Solution

The third proportional to 11,732.34 and 25,307.44 is: 54,589.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,732.34 : 25,307.44 = 25,307.44 : x
  2. Step 2: Convert to fraction form
    11,732.34/25,307.44 = 25,307.44/x
  3. Step 3: Cross multiply
    11,732.34x = 25,307.44 × 25,307.44
  4. Step 4: Simplify right side
    11,732.34x = 640,466,392.82
  5. Step 5: Solve for x
    x = 640,466,392.82/11,732.34
  6. Step 6: Final answer
    x = 54,589.81

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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.