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Finding the Third Proportional to 24,011.44 and 52,138.69

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Solution

The third proportional to 24,011.44 and 52,138.69 is: 113,214.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,011.44 : 52,138.69 = 52,138.69 : x
  2. Step 2: Convert to fraction form
    24,011.44/52,138.69 = 52,138.69/x
  3. Step 3: Cross multiply
    24,011.44x = 52,138.69 × 52,138.69
  4. Step 4: Simplify right side
    24,011.44x = 2,718,442,734.22
  5. Step 5: Solve for x
    x = 2,718,442,734.22/24,011.44
  6. Step 6: Final answer
    x = 113,214.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.