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Finding the Third Proportional to 17,971 and 27,209

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Solution

The third proportional to 17,971 and 27,209 is: 41,195.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,971 : 27,209 = 27,209 : x
  2. Step 2: Convert to fraction form
    17,971/27,209 = 27,209/x
  3. Step 3: Cross multiply
    17,971x = 27,209 × 27,209
  4. Step 4: Simplify right side
    17,971x = 740,329,681
  5. Step 5: Solve for x
    x = 740,329,681/17,971
  6. Step 6: Final answer
    x = 41,195.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.