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Finding the Third Proportional to 24,869 and 32,308

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Solution

The third proportional to 24,869 and 32,308 is: 41,972.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,869 : 32,308 = 32,308 : x
  2. Step 2: Convert to fraction form
    24,869/32,308 = 32,308/x
  3. Step 3: Cross multiply
    24,869x = 32,308 × 32,308
  4. Step 4: Simplify right side
    24,869x = 1,043,806,864
  5. Step 5: Solve for x
    x = 1,043,806,864/24,869
  6. Step 6: Final answer
    x = 41,972.21

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.