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Finding the Third Proportional to 38,865 and 83,062.13

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Solution

The third proportional to 38,865 and 83,062.13 is: 177,520.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,865 : 83,062.13 = 83,062.13 : x
  2. Step 2: Convert to fraction form
    38,865/83,062.13 = 83,062.13/x
  3. Step 3: Cross multiply
    38,865x = 83,062.13 × 83,062.13
  4. Step 4: Simplify right side
    38,865x = 6,899,316,609.52
  5. Step 5: Solve for x
    x = 6,899,316,609.52/38,865
  6. Step 6: Final answer
    x = 177,520.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.