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Finding the Third Proportional to 22,543.31 and 48,213.56

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Solution

The third proportional to 22,543.31 and 48,213.56 is: 103,114.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,543.31 : 48,213.56 = 48,213.56 : x
  2. Step 2: Convert to fraction form
    22,543.31/48,213.56 = 48,213.56/x
  3. Step 3: Cross multiply
    22,543.31x = 48,213.56 × 48,213.56
  4. Step 4: Simplify right side
    22,543.31x = 2,324,547,608.94
  5. Step 5: Solve for x
    x = 2,324,547,608.94/22,543.31
  6. Step 6: Final answer
    x = 103,114.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.