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Finding the Third Proportional to 24,146 and 31,827

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Solution

The third proportional to 24,146 and 31,827 is: 41,951.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,146 : 31,827 = 31,827 : x
  2. Step 2: Convert to fraction form
    24,146/31,827 = 31,827/x
  3. Step 3: Cross multiply
    24,146x = 31,827 × 31,827
  4. Step 4: Simplify right side
    24,146x = 1,012,957,929
  5. Step 5: Solve for x
    x = 1,012,957,929/24,146
  6. Step 6: Final answer
    x = 41,951.38

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.