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Finding the Third Proportional to 24,427.69 and 53,531.44

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Solution

The third proportional to 24,427.69 and 53,531.44 is: 117,310.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,427.69 : 53,531.44 = 53,531.44 : x
  2. Step 2: Convert to fraction form
    24,427.69/53,531.44 = 53,531.44/x
  3. Step 3: Cross multiply
    24,427.69x = 53,531.44 × 53,531.44
  4. Step 4: Simplify right side
    24,427.69x = 2,865,614,800.82
  5. Step 5: Solve for x
    x = 2,865,614,800.82/24,427.69
  6. Step 6: Final answer
    x = 117,310.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.