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Finding the Third Proportional to 24,064 and 37,189

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Solution

The third proportional to 24,064 and 37,189 is: 57,472.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,064 : 37,189 = 37,189 : x
  2. Step 2: Convert to fraction form
    24,064/37,189 = 37,189/x
  3. Step 3: Cross multiply
    24,064x = 37,189 × 37,189
  4. Step 4: Simplify right side
    24,064x = 1,383,021,721
  5. Step 5: Solve for x
    x = 1,383,021,721/24,064
  6. Step 6: Final answer
    x = 57,472.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.