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Finding the Third Proportional to 27,016 and 40,897

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Solution

The third proportional to 27,016 and 40,897 is: 61,910.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,016 : 40,897 = 40,897 : x
  2. Step 2: Convert to fraction form
    27,016/40,897 = 40,897/x
  3. Step 3: Cross multiply
    27,016x = 40,897 × 40,897
  4. Step 4: Simplify right side
    27,016x = 1,672,564,609
  5. Step 5: Solve for x
    x = 1,672,564,609/27,016
  6. Step 6: Final answer
    x = 61,910.15

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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.