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Finding the Third Proportional to 7,246.13 and 11,098.69

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Solution

The third proportional to 7,246.13 and 11,098.69 is: 16,999.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,246.13 : 11,098.69 = 11,098.69 : x
  2. Step 2: Convert to fraction form
    7,246.13/11,098.69 = 11,098.69/x
  3. Step 3: Cross multiply
    7,246.13x = 11,098.69 × 11,098.69
  4. Step 4: Simplify right side
    7,246.13x = 123,180,864.22
  5. Step 5: Solve for x
    x = 123,180,864.22/7,246.13
  6. Step 6: Final answer
    x = 16,999.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.