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Finding the Third Proportional to 38,720 and 83,941

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Solution

The third proportional to 38,720 and 83,941 is: 181,975.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,720 : 83,941 = 83,941 : x
  2. Step 2: Convert to fraction form
    38,720/83,941 = 83,941/x
  3. Step 3: Cross multiply
    38,720x = 83,941 × 83,941
  4. Step 4: Simplify right side
    38,720x = 7,046,091,481
  5. Step 5: Solve for x
    x = 7,046,091,481/38,720
  6. Step 6: Final answer
    x = 181,975.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.