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Finding the Third Proportional to 12,426.75 and 17,701.88

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Solution

The third proportional to 12,426.75 and 17,701.88 is: 25,216.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,426.75 : 17,701.88 = 17,701.88 : x
  2. Step 2: Convert to fraction form
    12,426.75/17,701.88 = 17,701.88/x
  3. Step 3: Cross multiply
    12,426.75x = 17,701.88 × 17,701.88
  4. Step 4: Simplify right side
    12,426.75x = 313,356,378.52
  5. Step 5: Solve for x
    x = 313,356,378.52/12,426.75
  6. Step 6: Final answer
    x = 25,216.28

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.