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Finding the Third Proportional to 24,148 and 34,192

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Solution

The third proportional to 24,148 and 34,192 is: 48,413.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,148 : 34,192 = 34,192 : x
  2. Step 2: Convert to fraction form
    24,148/34,192 = 34,192/x
  3. Step 3: Cross multiply
    24,148x = 34,192 × 34,192
  4. Step 4: Simplify right side
    24,148x = 1,169,092,864
  5. Step 5: Solve for x
    x = 1,169,092,864/24,148
  6. Step 6: Final answer
    x = 48,413.65

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.