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Finding the Third Proportional to 38,863.13 and 85,124.63

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Solution

The third proportional to 38,863.13 and 85,124.63 is: 186,454.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,863.13 : 85,124.63 = 85,124.63 : x
  2. Step 2: Convert to fraction form
    38,863.13/85,124.63 = 85,124.63/x
  3. Step 3: Cross multiply
    38,863.13x = 85,124.63 × 85,124.63
  4. Step 4: Simplify right side
    38,863.13x = 7,246,201,781.39
  5. Step 5: Solve for x
    x = 7,246,201,781.39/38,863.13
  6. Step 6: Final answer
    x = 186,454.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.