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Finding the Third Proportional to 4,028.48 and 9,047.95

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Solution

The third proportional to 4,028.48 and 9,047.95 is: 20,321.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,028.48 : 9,047.95 = 9,047.95 : x
  2. Step 2: Convert to fraction form
    4,028.48/9,047.95 = 9,047.95/x
  3. Step 3: Cross multiply
    4,028.48x = 9,047.95 × 9,047.95
  4. Step 4: Simplify right side
    4,028.48x = 81,865,455.75
  5. Step 5: Solve for x
    x = 81,865,455.75/4,028.48
  6. Step 6: Final answer
    x = 20,321.65

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.