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Finding the Third Proportional to 17,768 and 38,992

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Solution

The third proportional to 17,768 and 38,992 is: 85,568.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,768 : 38,992 = 38,992 : x
  2. Step 2: Convert to fraction form
    17,768/38,992 = 38,992/x
  3. Step 3: Cross multiply
    17,768x = 38,992 × 38,992
  4. Step 4: Simplify right side
    17,768x = 1,520,376,064
  5. Step 5: Solve for x
    x = 1,520,376,064/17,768
  6. Step 6: Final answer
    x = 85,568.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.