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Finding the Third Proportional to 18,024 and 27,792

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Solution

The third proportional to 18,024 and 27,792 is: 42,853.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,024 : 27,792 = 27,792 : x
  2. Step 2: Convert to fraction form
    18,024/27,792 = 27,792/x
  3. Step 3: Cross multiply
    18,024x = 27,792 × 27,792
  4. Step 4: Simplify right side
    18,024x = 772,395,264
  5. Step 5: Solve for x
    x = 772,395,264/18,024
  6. Step 6: Final answer
    x = 42,853.71

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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.