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Finding the Third Proportional to 28,950.75 and 33,284.25

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Solution

The third proportional to 28,950.75 and 33,284.25 is: 38,266.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,950.75 : 33,284.25 = 33,284.25 : x
  2. Step 2: Convert to fraction form
    28,950.75/33,284.25 = 33,284.25/x
  3. Step 3: Cross multiply
    28,950.75x = 33,284.25 × 33,284.25
  4. Step 4: Simplify right side
    28,950.75x = 1,107,841,298.06
  5. Step 5: Solve for x
    x = 1,107,841,298.06/28,950.75
  6. Step 6: Final answer
    x = 38,266.41

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.