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Finding the Third Proportional to 4,789.80 and 6,595.44

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Solution

The third proportional to 4,789.80 and 6,595.44 is: 9,081.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,789.80 : 6,595.44 = 6,595.44 : x
  2. Step 2: Convert to fraction form
    4,789.80/6,595.44 = 6,595.44/x
  3. Step 3: Cross multiply
    4,789.80x = 6,595.44 × 6,595.44
  4. Step 4: Simplify right side
    4,789.80x = 43,499,813.53
  5. Step 5: Solve for x
    x = 43,499,813.53/4,789.80
  6. Step 6: Final answer
    x = 9,081.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.