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Finding the Third Proportional to 24,045 and 51,642

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Solution

The third proportional to 24,045 and 51,642 is: 110,912.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,045 : 51,642 = 51,642 : x
  2. Step 2: Convert to fraction form
    24,045/51,642 = 51,642/x
  3. Step 3: Cross multiply
    24,045x = 51,642 × 51,642
  4. Step 4: Simplify right side
    24,045x = 2,666,896,164
  5. Step 5: Solve for x
    x = 2,666,896,164/24,045
  6. Step 6: Final answer
    x = 110,912.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.