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Finding the Third Proportional to 28,221 and 41,508

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Solution

The third proportional to 28,221 and 41,508 is: 61,050.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,221 : 41,508 = 41,508 : x
  2. Step 2: Convert to fraction form
    28,221/41,508 = 41,508/x
  3. Step 3: Cross multiply
    28,221x = 41,508 × 41,508
  4. Step 4: Simplify right side
    28,221x = 1,722,914,064
  5. Step 5: Solve for x
    x = 1,722,914,064/28,221
  6. Step 6: Final answer
    x = 61,050.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.