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Finding the Third Proportional to 27,949 and 59,897

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Solution

The third proportional to 27,949 and 59,897 is: 128,364.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,949 : 59,897 = 59,897 : x
  2. Step 2: Convert to fraction form
    27,949/59,897 = 59,897/x
  3. Step 3: Cross multiply
    27,949x = 59,897 × 59,897
  4. Step 4: Simplify right side
    27,949x = 3,587,650,609
  5. Step 5: Solve for x
    x = 3,587,650,609/27,949
  6. Step 6: Final answer
    x = 128,364.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.