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Finding the Third Proportional to 3,169.92 and 4,927.66

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Solution

The third proportional to 3,169.92 and 4,927.66 is: 7,660.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.92 : 4,927.66 = 4,927.66 : x
  2. Step 2: Convert to fraction form
    3,169.92/4,927.66 = 4,927.66/x
  3. Step 3: Cross multiply
    3,169.92x = 4,927.66 × 4,927.66
  4. Step 4: Simplify right side
    3,169.92x = 24,281,873.11
  5. Step 5: Solve for x
    x = 24,281,873.11/3,169.92
  6. Step 6: Final answer
    x = 7,660.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.