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Finding the Third Proportional to 18,000 and 27,688

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Solution

The third proportional to 18,000 and 27,688 is: 42,590.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,000 : 27,688 = 27,688 : x
  2. Step 2: Convert to fraction form
    18,000/27,688 = 27,688/x
  3. Step 3: Cross multiply
    18,000x = 27,688 × 27,688
  4. Step 4: Simplify right side
    18,000x = 766,625,344
  5. Step 5: Solve for x
    x = 766,625,344/18,000
  6. Step 6: Final answer
    x = 42,590.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.