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Finding the Third Proportional to 6,330.13 and 9,826.13

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Solution

The third proportional to 6,330.13 and 9,826.13 is: 15,252.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,330.13 : 9,826.13 = 9,826.13 : x
  2. Step 2: Convert to fraction form
    6,330.13/9,826.13 = 9,826.13/x
  3. Step 3: Cross multiply
    6,330.13x = 9,826.13 × 9,826.13
  4. Step 4: Simplify right side
    6,330.13x = 96,552,732.52
  5. Step 5: Solve for x
    x = 96,552,732.52/6,330.13
  6. Step 6: Final answer
    x = 15,252.90

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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.