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Finding the Third Proportional to 17,768 and 38,464

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Solution

The third proportional to 17,768 and 38,464 is: 83,266.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,768 : 38,464 = 38,464 : x
  2. Step 2: Convert to fraction form
    17,768/38,464 = 38,464/x
  3. Step 3: Cross multiply
    17,768x = 38,464 × 38,464
  4. Step 4: Simplify right side
    17,768x = 1,479,479,296
  5. Step 5: Solve for x
    x = 1,479,479,296/17,768
  6. Step 6: Final answer
    x = 83,266.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.