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Finding the Third Proportional to 9,726.75 and 14,057.25

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Solution

The third proportional to 9,726.75 and 14,057.25 is: 20,315.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.75 : 14,057.25 = 14,057.25 : x
  2. Step 2: Convert to fraction form
    9,726.75/14,057.25 = 14,057.25/x
  3. Step 3: Cross multiply
    9,726.75x = 14,057.25 × 14,057.25
  4. Step 4: Simplify right side
    9,726.75x = 197,606,277.56
  5. Step 5: Solve for x
    x = 197,606,277.56/9,726.75
  6. Step 6: Final answer
    x = 20,315.76

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.