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Finding the Third Proportional to 10,656 and 16,679.25

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Solution

The third proportional to 10,656 and 16,679.25 is: 26,107.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656 : 16,679.25 = 16,679.25 : x
  2. Step 2: Convert to fraction form
    10,656/16,679.25 = 16,679.25/x
  3. Step 3: Cross multiply
    10,656x = 16,679.25 × 16,679.25
  4. Step 4: Simplify right side
    10,656x = 278,197,380.56
  5. Step 5: Solve for x
    x = 278,197,380.56/10,656
  6. Step 6: Final answer
    x = 26,107.11

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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.