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Finding the Third Proportional to 6,204.94 and 13,488.19

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Solution

The third proportional to 6,204.94 and 13,488.19 is: 29,320.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.94 : 13,488.19 = 13,488.19 : x
  2. Step 2: Convert to fraction form
    6,204.94/13,488.19 = 13,488.19/x
  3. Step 3: Cross multiply
    6,204.94x = 13,488.19 × 13,488.19
  4. Step 4: Simplify right side
    6,204.94x = 181,931,202.04
  5. Step 5: Solve for x
    x = 181,931,202.04/6,204.94
  6. Step 6: Final answer
    x = 29,320.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.