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Finding the Third Proportional to 24,669 and 37,619

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Solution

The third proportional to 24,669 and 37,619 is: 57,367.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,669 : 37,619 = 37,619 : x
  2. Step 2: Convert to fraction form
    24,669/37,619 = 37,619/x
  3. Step 3: Cross multiply
    24,669x = 37,619 × 37,619
  4. Step 4: Simplify right side
    24,669x = 1,415,189,161
  5. Step 5: Solve for x
    x = 1,415,189,161/24,669
  6. Step 6: Final answer
    x = 57,367.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.