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Finding the Third Proportional to 11,259 and 17,426

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Solution

The third proportional to 11,259 and 17,426 is: 26,970.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,259 : 17,426 = 17,426 : x
  2. Step 2: Convert to fraction form
    11,259/17,426 = 17,426/x
  3. Step 3: Cross multiply
    11,259x = 17,426 × 17,426
  4. Step 4: Simplify right side
    11,259x = 303,665,476
  5. Step 5: Solve for x
    x = 303,665,476/11,259
  6. Step 6: Final answer
    x = 26,970.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.