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Finding the Third Proportional to 24,972.25 and 35,128

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Solution

The third proportional to 24,972.25 and 35,128 is: 49,413.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,972.25 : 35,128 = 35,128 : x
  2. Step 2: Convert to fraction form
    24,972.25/35,128 = 35,128/x
  3. Step 3: Cross multiply
    24,972.25x = 35,128 × 35,128
  4. Step 4: Simplify right side
    24,972.25x = 1,233,976,384
  5. Step 5: Solve for x
    x = 1,233,976,384/24,972.25
  6. Step 6: Final answer
    x = 49,413.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.