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Finding the Third Proportional to 6,285.97 and 9,320.13

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Solution

The third proportional to 6,285.97 and 9,320.13 is: 13,818.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.97 : 9,320.13 = 9,320.13 : x
  2. Step 2: Convert to fraction form
    6,285.97/9,320.13 = 9,320.13/x
  3. Step 3: Cross multiply
    6,285.97x = 9,320.13 × 9,320.13
  4. Step 4: Simplify right side
    6,285.97x = 86,864,730.02
  5. Step 5: Solve for x
    x = 86,864,730.02/6,285.97
  6. Step 6: Final answer
    x = 13,818.83

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.