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Finding the Third Proportional to 38,484 and 82,698.19

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Solution

The third proportional to 38,484 and 82,698.19 is: 177,709.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,484 : 82,698.19 = 82,698.19 : x
  2. Step 2: Convert to fraction form
    38,484/82,698.19 = 82,698.19/x
  3. Step 3: Cross multiply
    38,484x = 82,698.19 × 82,698.19
  4. Step 4: Simplify right side
    38,484x = 6,838,990,215.79
  5. Step 5: Solve for x
    x = 6,838,990,215.79/38,484
  6. Step 6: Final answer
    x = 177,709.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.