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Finding the Third Proportional to 24,204.38 and 52,232.63

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Solution

The third proportional to 24,204.38 and 52,232.63 is: 112,717.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,204.38 : 52,232.63 = 52,232.63 : x
  2. Step 2: Convert to fraction form
    24,204.38/52,232.63 = 52,232.63/x
  3. Step 3: Cross multiply
    24,204.38x = 52,232.63 × 52,232.63
  4. Step 4: Simplify right side
    24,204.38x = 2,728,247,114.39
  5. Step 5: Solve for x
    x = 2,728,247,114.39/24,204.38
  6. Step 6: Final answer
    x = 112,717.11

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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.