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Finding the Third Proportional to 22,457.67 and 33,687.14

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Solution

The third proportional to 22,457.67 and 33,687.14 is: 50,531.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,457.67 : 33,687.14 = 33,687.14 : x
  2. Step 2: Convert to fraction form
    22,457.67/33,687.14 = 33,687.14/x
  3. Step 3: Cross multiply
    22,457.67x = 33,687.14 × 33,687.14
  4. Step 4: Simplify right side
    22,457.67x = 1,134,823,443.49
  5. Step 5: Solve for x
    x = 1,134,823,443.49/22,457.67
  6. Step 6: Final answer
    x = 50,531.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.