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Finding the Third Proportional to 38,805 and 59,335.31

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Solution

The third proportional to 38,805 and 59,335.31 is: 90,727.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,805 : 59,335.31 = 59,335.31 : x
  2. Step 2: Convert to fraction form
    38,805/59,335.31 = 59,335.31/x
  3. Step 3: Cross multiply
    38,805x = 59,335.31 × 59,335.31
  4. Step 4: Simplify right side
    38,805x = 3,520,679,309.47
  5. Step 5: Solve for x
    x = 3,520,679,309.47/38,805
  6. Step 6: Final answer
    x = 90,727.47

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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.