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Finding the Third Proportional to 24,702 and 37,266

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Solution

The third proportional to 24,702 and 37,266 is: 56,220.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,702 : 37,266 = 37,266 : x
  2. Step 2: Convert to fraction form
    24,702/37,266 = 37,266/x
  3. Step 3: Cross multiply
    24,702x = 37,266 × 37,266
  4. Step 4: Simplify right side
    24,702x = 1,388,754,756
  5. Step 5: Solve for x
    x = 1,388,754,756/24,702
  6. Step 6: Final answer
    x = 56,220.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.