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Finding the Third Proportional to 2,923.59 and 3,793.08

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Solution

The third proportional to 2,923.59 and 3,793.08 is: 4,921.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.59 : 3,793.08 = 3,793.08 : x
  2. Step 2: Convert to fraction form
    2,923.59/3,793.08 = 3,793.08/x
  3. Step 3: Cross multiply
    2,923.59x = 3,793.08 × 3,793.08
  4. Step 4: Simplify right side
    2,923.59x = 14,387,441.66
  5. Step 5: Solve for x
    x = 14,387,441.66/2,923.59
  6. Step 6: Final answer
    x = 4,921.15

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.