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Finding the Third Proportional to 22,053.50 and 48,481

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Solution

The third proportional to 22,053.50 and 48,481 is: 106,577.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,053.50 : 48,481 = 48,481 : x
  2. Step 2: Convert to fraction form
    22,053.50/48,481 = 48,481/x
  3. Step 3: Cross multiply
    22,053.50x = 48,481 × 48,481
  4. Step 4: Simplify right side
    22,053.50x = 2,350,407,361
  5. Step 5: Solve for x
    x = 2,350,407,361/22,053.50
  6. Step 6: Final answer
    x = 106,577.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.