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Finding the Third Proportional to 24,083 and 31,965

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Solution

The third proportional to 24,083 and 31,965 is: 42,426.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,083 : 31,965 = 31,965 : x
  2. Step 2: Convert to fraction form
    24,083/31,965 = 31,965/x
  3. Step 3: Cross multiply
    24,083x = 31,965 × 31,965
  4. Step 4: Simplify right side
    24,083x = 1,021,761,225
  5. Step 5: Solve for x
    x = 1,021,761,225/24,083
  6. Step 6: Final answer
    x = 42,426.66

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.