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Finding the Third Proportional to 3,385.13 and 5,604.19

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Solution

The third proportional to 3,385.13 and 5,604.19 is: 9,277.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,385.13 : 5,604.19 = 5,604.19 : x
  2. Step 2: Convert to fraction form
    3,385.13/5,604.19 = 5,604.19/x
  3. Step 3: Cross multiply
    3,385.13x = 5,604.19 × 5,604.19
  4. Step 4: Simplify right side
    3,385.13x = 31,406,917.54
  5. Step 5: Solve for x
    x = 31,406,917.54/3,385.13
  6. Step 6: Final answer
    x = 9,277.92

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.