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Finding the Third Proportional to 23,974 and 36,295

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Solution

The third proportional to 23,974 and 36,295 is: 54,948.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,974 : 36,295 = 36,295 : x
  2. Step 2: Convert to fraction form
    23,974/36,295 = 36,295/x
  3. Step 3: Cross multiply
    23,974x = 36,295 × 36,295
  4. Step 4: Simplify right side
    23,974x = 1,317,327,025
  5. Step 5: Solve for x
    x = 1,317,327,025/23,974
  6. Step 6: Final answer
    x = 54,948.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.