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Finding the Third Proportional to 10,998.28 and 17,037.84

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Solution

The third proportional to 10,998.28 and 17,037.84 is: 26,393.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,998.28 : 17,037.84 = 17,037.84 : x
  2. Step 2: Convert to fraction form
    10,998.28/17,037.84 = 17,037.84/x
  3. Step 3: Cross multiply
    10,998.28x = 17,037.84 × 17,037.84
  4. Step 4: Simplify right side
    10,998.28x = 290,288,119.65
  5. Step 5: Solve for x
    x = 290,288,119.65/10,998.28
  6. Step 6: Final answer
    x = 26,393.95

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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.