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Finding the Third Proportional to 7,971 and 17,514

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Solution

The third proportional to 7,971 and 17,514 is: 38,482.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971 : 17,514 = 17,514 : x
  2. Step 2: Convert to fraction form
    7,971/17,514 = 17,514/x
  3. Step 3: Cross multiply
    7,971x = 17,514 × 17,514
  4. Step 4: Simplify right side
    7,971x = 306,740,196
  5. Step 5: Solve for x
    x = 306,740,196/7,971
  6. Step 6: Final answer
    x = 38,482.02

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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.