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Finding the Third Proportional to 24,609 and 37,041

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Solution

The third proportional to 24,609 and 37,041 is: 55,753.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,609 : 37,041 = 37,041 : x
  2. Step 2: Convert to fraction form
    24,609/37,041 = 37,041/x
  3. Step 3: Cross multiply
    24,609x = 37,041 × 37,041
  4. Step 4: Simplify right side
    24,609x = 1,372,035,681
  5. Step 5: Solve for x
    x = 1,372,035,681/24,609
  6. Step 6: Final answer
    x = 55,753.41

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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.