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Finding the Third Proportional to 24,742 and 34,610

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Solution

The third proportional to 24,742 and 34,610 is: 48,413.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,742 : 34,610 = 34,610 : x
  2. Step 2: Convert to fraction form
    24,742/34,610 = 34,610/x
  3. Step 3: Cross multiply
    24,742x = 34,610 × 34,610
  4. Step 4: Simplify right side
    24,742x = 1,197,852,100
  5. Step 5: Solve for x
    x = 1,197,852,100/24,742
  6. Step 6: Final answer
    x = 48,413.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.