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Finding the Third Proportional to 18,046.50 and 27,069

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Solution

The third proportional to 18,046.50 and 27,069 is: 40,602.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,046.50 : 27,069 = 27,069 : x
  2. Step 2: Convert to fraction form
    18,046.50/27,069 = 27,069/x
  3. Step 3: Cross multiply
    18,046.50x = 27,069 × 27,069
  4. Step 4: Simplify right side
    18,046.50x = 732,730,761
  5. Step 5: Solve for x
    x = 732,730,761/18,046.50
  6. Step 6: Final answer
    x = 40,602.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.