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Finding the Third Proportional to 12,418 and 13,426

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Solution

The third proportional to 12,418 and 13,426 is: 14,515.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,418 : 13,426 = 13,426 : x
  2. Step 2: Convert to fraction form
    12,418/13,426 = 13,426/x
  3. Step 3: Cross multiply
    12,418x = 13,426 × 13,426
  4. Step 4: Simplify right side
    12,418x = 180,257,476
  5. Step 5: Solve for x
    x = 180,257,476/12,418
  6. Step 6: Final answer
    x = 14,515.82

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.