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Finding the Third Proportional to 24,439 and 40,546

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Solution

The third proportional to 24,439 and 40,546 is: 67,268.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,439 : 40,546 = 40,546 : x
  2. Step 2: Convert to fraction form
    24,439/40,546 = 40,546/x
  3. Step 3: Cross multiply
    24,439x = 40,546 × 40,546
  4. Step 4: Simplify right side
    24,439x = 1,643,978,116
  5. Step 5: Solve for x
    x = 1,643,978,116/24,439
  6. Step 6: Final answer
    x = 67,268.63

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.