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Finding the Third Proportional to 38,850 and 58,122

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Solution

The third proportional to 38,850 and 58,122 is: 86,954.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,850 : 58,122 = 58,122 : x
  2. Step 2: Convert to fraction form
    38,850/58,122 = 58,122/x
  3. Step 3: Cross multiply
    38,850x = 58,122 × 58,122
  4. Step 4: Simplify right side
    38,850x = 3,378,166,884
  5. Step 5: Solve for x
    x = 3,378,166,884/38,850
  6. Step 6: Final answer
    x = 86,954.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.