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Finding the Third Proportional to 24,832 and 31,883

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Solution

The third proportional to 24,832 and 31,883 is: 40,936.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,832 : 31,883 = 31,883 : x
  2. Step 2: Convert to fraction form
    24,832/31,883 = 31,883/x
  3. Step 3: Cross multiply
    24,832x = 31,883 × 31,883
  4. Step 4: Simplify right side
    24,832x = 1,016,525,689
  5. Step 5: Solve for x
    x = 1,016,525,689/24,832
  6. Step 6: Final answer
    x = 40,936.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.