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Finding the Third Proportional to 38,301 and 58,857

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Solution

The third proportional to 38,301 and 58,857 is: 90,445.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,301 : 58,857 = 58,857 : x
  2. Step 2: Convert to fraction form
    38,301/58,857 = 58,857/x
  3. Step 3: Cross multiply
    38,301x = 58,857 × 58,857
  4. Step 4: Simplify right side
    38,301x = 3,464,146,449
  5. Step 5: Solve for x
    x = 3,464,146,449/38,301
  6. Step 6: Final answer
    x = 90,445.33

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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.