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Finding the Third Proportional to 24,617 and 36,917

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Solution

The third proportional to 24,617 and 36,917 is: 55,362.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,617 : 36,917 = 36,917 : x
  2. Step 2: Convert to fraction form
    24,617/36,917 = 36,917/x
  3. Step 3: Cross multiply
    24,617x = 36,917 × 36,917
  4. Step 4: Simplify right side
    24,617x = 1,362,864,889
  5. Step 5: Solve for x
    x = 1,362,864,889/24,617
  6. Step 6: Final answer
    x = 55,362.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.