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Finding the Third Proportional to 18,792 and 27,464

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Solution

The third proportional to 18,792 and 27,464 is: 40,137.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,792 : 27,464 = 27,464 : x
  2. Step 2: Convert to fraction form
    18,792/27,464 = 27,464/x
  3. Step 3: Cross multiply
    18,792x = 27,464 × 27,464
  4. Step 4: Simplify right side
    18,792x = 754,271,296
  5. Step 5: Solve for x
    x = 754,271,296/18,792
  6. Step 6: Final answer
    x = 40,137.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.