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Finding the Third Proportional to 4,402.24 and 6,813.73

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Solution

The third proportional to 4,402.24 and 6,813.73 is: 10,546.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,402.24 : 6,813.73 = 6,813.73 : x
  2. Step 2: Convert to fraction form
    4,402.24/6,813.73 = 6,813.73/x
  3. Step 3: Cross multiply
    4,402.24x = 6,813.73 × 6,813.73
  4. Step 4: Simplify right side
    4,402.24x = 46,426,909.59
  5. Step 5: Solve for x
    x = 46,426,909.59/4,402.24
  6. Step 6: Final answer
    x = 10,546.20

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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.