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Finding the Third Proportional to 11,080 and 17,860

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Solution

The third proportional to 11,080 and 17,860 is: 28,788.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,080 : 17,860 = 17,860 : x
  2. Step 2: Convert to fraction form
    11,080/17,860 = 17,860/x
  3. Step 3: Cross multiply
    11,080x = 17,860 × 17,860
  4. Step 4: Simplify right side
    11,080x = 318,979,600
  5. Step 5: Solve for x
    x = 318,979,600/11,080
  6. Step 6: Final answer
    x = 28,788.77

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.