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Finding the Third Proportional to 24,672 and 37,622

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Solution

The third proportional to 24,672 and 37,622 is: 57,369.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,672 : 37,622 = 37,622 : x
  2. Step 2: Convert to fraction form
    24,672/37,622 = 37,622/x
  3. Step 3: Cross multiply
    24,672x = 37,622 × 37,622
  4. Step 4: Simplify right side
    24,672x = 1,415,414,884
  5. Step 5: Solve for x
    x = 1,415,414,884/24,672
  6. Step 6: Final answer
    x = 57,369.28

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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.