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Finding the Third Proportional to 34,574 and 75,626

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Solution

The third proportional to 34,574 and 75,626 is: 165,421.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,574 : 75,626 = 75,626 : x
  2. Step 2: Convert to fraction form
    34,574/75,626 = 75,626/x
  3. Step 3: Cross multiply
    34,574x = 75,626 × 75,626
  4. Step 4: Simplify right side
    34,574x = 5,719,291,876
  5. Step 5: Solve for x
    x = 5,719,291,876/34,574
  6. Step 6: Final answer
    x = 165,421.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.