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Finding the Third Proportional to 34,770 and 75,950

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Solution

The third proportional to 34,770 and 75,950 is: 165,901.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,770 : 75,950 = 75,950 : x
  2. Step 2: Convert to fraction form
    34,770/75,950 = 75,950/x
  3. Step 3: Cross multiply
    34,770x = 75,950 × 75,950
  4. Step 4: Simplify right side
    34,770x = 5,768,402,500
  5. Step 5: Solve for x
    x = 5,768,402,500/34,770
  6. Step 6: Final answer
    x = 165,901.71

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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.