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Finding the Third Proportional to 24,223 and 52,157

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Solution

The third proportional to 24,223 and 52,157 is: 112,304.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,223 : 52,157 = 52,157 : x
  2. Step 2: Convert to fraction form
    24,223/52,157 = 52,157/x
  3. Step 3: Cross multiply
    24,223x = 52,157 × 52,157
  4. Step 4: Simplify right side
    24,223x = 2,720,352,649
  5. Step 5: Solve for x
    x = 2,720,352,649/24,223
  6. Step 6: Final answer
    x = 112,304.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.