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Finding the Third Proportional to 24,853 and 37,673

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Solution

The third proportional to 24,853 and 37,673 is: 57,105.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,853 : 37,673 = 37,673 : x
  2. Step 2: Convert to fraction form
    24,853/37,673 = 37,673/x
  3. Step 3: Cross multiply
    24,853x = 37,673 × 37,673
  4. Step 4: Simplify right side
    24,853x = 1,419,254,929
  5. Step 5: Solve for x
    x = 1,419,254,929/24,853
  6. Step 6: Final answer
    x = 57,105.98

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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.