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Finding the Third Proportional to 41,220 and 58,230

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Solution

The third proportional to 41,220 and 58,230 is: 82,259.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,220 : 58,230 = 58,230 : x
  2. Step 2: Convert to fraction form
    41,220/58,230 = 58,230/x
  3. Step 3: Cross multiply
    41,220x = 58,230 × 58,230
  4. Step 4: Simplify right side
    41,220x = 3,390,732,900
  5. Step 5: Solve for x
    x = 3,390,732,900/41,220
  6. Step 6: Final answer
    x = 82,259.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.