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Finding the Third Proportional to 38,058 and 58,569

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Solution

The third proportional to 38,058 and 58,569 is: 90,134.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,058 : 58,569 = 58,569 : x
  2. Step 2: Convert to fraction form
    38,058/58,569 = 58,569/x
  3. Step 3: Cross multiply
    38,058x = 58,569 × 58,569
  4. Step 4: Simplify right side
    38,058x = 3,430,327,761
  5. Step 5: Solve for x
    x = 3,430,327,761/38,058
  6. Step 6: Final answer
    x = 90,134.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.