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Finding the Third Proportional to 7,897 and 16,987

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Solution

The third proportional to 7,897 and 16,987 is: 36,540.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897 : 16,987 = 16,987 : x
  2. Step 2: Convert to fraction form
    7,897/16,987 = 16,987/x
  3. Step 3: Cross multiply
    7,897x = 16,987 × 16,987
  4. Step 4: Simplify right side
    7,897x = 288,558,169
  5. Step 5: Solve for x
    x = 288,558,169/7,897
  6. Step 6: Final answer
    x = 36,540.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.