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Finding the Third Proportional to 17,368 and 38,272

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Solution

The third proportional to 17,368 and 38,272 is: 84,335.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,368 : 38,272 = 38,272 : x
  2. Step 2: Convert to fraction form
    17,368/38,272 = 38,272/x
  3. Step 3: Cross multiply
    17,368x = 38,272 × 38,272
  4. Step 4: Simplify right side
    17,368x = 1,464,745,984
  5. Step 5: Solve for x
    x = 1,464,745,984/17,368
  6. Step 6: Final answer
    x = 84,335.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.