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Finding the Third Proportional to 48,521 and 72,481

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Solution

The third proportional to 48,521 and 72,481 is: 108,272.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,521 : 72,481 = 72,481 : x
  2. Step 2: Convert to fraction form
    48,521/72,481 = 72,481/x
  3. Step 3: Cross multiply
    48,521x = 72,481 × 72,481
  4. Step 4: Simplify right side
    48,521x = 5,253,495,361
  5. Step 5: Solve for x
    x = 5,253,495,361/48,521
  6. Step 6: Final answer
    x = 108,272.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.