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Finding the Third Proportional to 24,636 and 36,916

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Solution

The third proportional to 24,636 and 36,916 is: 55,317.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,636 : 36,916 = 36,916 : x
  2. Step 2: Convert to fraction form
    24,636/36,916 = 36,916/x
  3. Step 3: Cross multiply
    24,636x = 36,916 × 36,916
  4. Step 4: Simplify right side
    24,636x = 1,362,791,056
  5. Step 5: Solve for x
    x = 1,362,791,056/24,636
  6. Step 6: Final answer
    x = 55,317.06

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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.