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Finding the Third Proportional to 24,441 and 46,938

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Solution

The third proportional to 24,441 and 46,938 is: 90,142.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,441 : 46,938 = 46,938 : x
  2. Step 2: Convert to fraction form
    24,441/46,938 = 46,938/x
  3. Step 3: Cross multiply
    24,441x = 46,938 × 46,938
  4. Step 4: Simplify right side
    24,441x = 2,203,175,844
  5. Step 5: Solve for x
    x = 2,203,175,844/24,441
  6. Step 6: Final answer
    x = 90,142.62

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.