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Finding the Third Proportional to 38,616.35 and 79,712.31

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Solution

The third proportional to 38,616.35 and 79,712.31 is: 164,543.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,616.35 : 79,712.31 = 79,712.31 : x
  2. Step 2: Convert to fraction form
    38,616.35/79,712.31 = 79,712.31/x
  3. Step 3: Cross multiply
    38,616.35x = 79,712.31 × 79,712.31
  4. Step 4: Simplify right side
    38,616.35x = 6,354,051,674.28
  5. Step 5: Solve for x
    x = 6,354,051,674.28/38,616.35
  6. Step 6: Final answer
    x = 164,543.02

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.