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Finding the Third Proportional to 22,457.25 and 33,716.25

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Solution

The third proportional to 22,457.25 and 33,716.25 is: 50,619.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,457.25 : 33,716.25 = 33,716.25 : x
  2. Step 2: Convert to fraction form
    22,457.25/33,716.25 = 33,716.25/x
  3. Step 3: Cross multiply
    22,457.25x = 33,716.25 × 33,716.25
  4. Step 4: Simplify right side
    22,457.25x = 1,136,785,514.06
  5. Step 5: Solve for x
    x = 1,136,785,514.06/22,457.25
  6. Step 6: Final answer
    x = 50,619.98

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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.