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Finding the Third Proportional to 10,660.78 and 16,723.13

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Solution

The third proportional to 10,660.78 and 16,723.13 is: 26,232.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660.78 : 16,723.13 = 16,723.13 : x
  2. Step 2: Convert to fraction form
    10,660.78/16,723.13 = 16,723.13/x
  3. Step 3: Cross multiply
    10,660.78x = 16,723.13 × 16,723.13
  4. Step 4: Simplify right side
    10,660.78x = 279,662,909.77
  5. Step 5: Solve for x
    x = 279,662,909.77/10,660.78
  6. Step 6: Final answer
    x = 26,232.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.