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Finding the Third Proportional to 13,022.25 and 28,021.88

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Solution

The third proportional to 13,022.25 and 28,021.88 is: 60,298.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.25 : 28,021.88 = 28,021.88 : x
  2. Step 2: Convert to fraction form
    13,022.25/28,021.88 = 28,021.88/x
  3. Step 3: Cross multiply
    13,022.25x = 28,021.88 × 28,021.88
  4. Step 4: Simplify right side
    13,022.25x = 785,225,478.52
  5. Step 5: Solve for x
    x = 785,225,478.52/13,022.25
  6. Step 6: Final answer
    x = 60,298.76

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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.