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Finding the Third Proportional to 13,426 and 14,626

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Solution

The third proportional to 13,426 and 14,626 is: 15,933.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,426 : 14,626 = 14,626 : x
  2. Step 2: Convert to fraction form
    13,426/14,626 = 14,626/x
  3. Step 3: Cross multiply
    13,426x = 14,626 × 14,626
  4. Step 4: Simplify right side
    13,426x = 213,919,876
  5. Step 5: Solve for x
    x = 213,919,876/13,426
  6. Step 6: Final answer
    x = 15,933.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.