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Finding the Third Proportional to 38,777 and 58,489

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Solution

The third proportional to 38,777 and 58,489 is: 88,221.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,777 : 58,489 = 58,489 : x
  2. Step 2: Convert to fraction form
    38,777/58,489 = 58,489/x
  3. Step 3: Cross multiply
    38,777x = 58,489 × 58,489
  4. Step 4: Simplify right side
    38,777x = 3,420,963,121
  5. Step 5: Solve for x
    x = 3,420,963,121/38,777
  6. Step 6: Final answer
    x = 88,221.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.