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Finding the Third Proportional to 34,761 and 75,897

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Solution

The third proportional to 34,761 and 75,897 is: 165,713.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,761 : 75,897 = 75,897 : x
  2. Step 2: Convert to fraction form
    34,761/75,897 = 75,897/x
  3. Step 3: Cross multiply
    34,761x = 75,897 × 75,897
  4. Step 4: Simplify right side
    34,761x = 5,760,354,609
  5. Step 5: Solve for x
    x = 5,760,354,609/34,761
  6. Step 6: Final answer
    x = 165,713.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.