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Finding the Third Proportional to 38,786 and 59,307

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Solution

The third proportional to 38,786 and 59,307 is: 90,685.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,786 : 59,307 = 59,307 : x
  2. Step 2: Convert to fraction form
    38,786/59,307 = 59,307/x
  3. Step 3: Cross multiply
    38,786x = 59,307 × 59,307
  4. Step 4: Simplify right side
    38,786x = 3,517,320,249
  5. Step 5: Solve for x
    x = 3,517,320,249/38,786
  6. Step 6: Final answer
    x = 90,685.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.