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Finding the Third Proportional to 38,863.13 and 83,240.63

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Solution

The third proportional to 38,863.13 and 83,240.63 is: 178,292.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,863.13 : 83,240.63 = 83,240.63 : x
  2. Step 2: Convert to fraction form
    38,863.13/83,240.63 = 83,240.63/x
  3. Step 3: Cross multiply
    38,863.13x = 83,240.63 × 83,240.63
  4. Step 4: Simplify right side
    38,863.13x = 6,929,001,650.39
  5. Step 5: Solve for x
    x = 6,929,001,650.39/38,863.13
  6. Step 6: Final answer
    x = 178,292.45

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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.