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Finding the Third Proportional to 10,869.75 and 17,277.75

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Solution

The third proportional to 10,869.75 and 17,277.75 is: 27,463.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,869.75 : 17,277.75 = 17,277.75 : x
  2. Step 2: Convert to fraction form
    10,869.75/17,277.75 = 17,277.75/x
  3. Step 3: Cross multiply
    10,869.75x = 17,277.75 × 17,277.75
  4. Step 4: Simplify right side
    10,869.75x = 298,520,645.06
  5. Step 5: Solve for x
    x = 298,520,645.06/10,869.75
  6. Step 6: Final answer
    x = 27,463.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.