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Finding the Third Proportional to 6,022.69 and 9,268.88

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Solution

The third proportional to 6,022.69 and 9,268.88 is: 14,264.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,022.69 : 9,268.88 = 9,268.88 : x
  2. Step 2: Convert to fraction form
    6,022.69/9,268.88 = 9,268.88/x
  3. Step 3: Cross multiply
    6,022.69x = 9,268.88 × 9,268.88
  4. Step 4: Simplify right side
    6,022.69x = 85,912,043.77
  5. Step 5: Solve for x
    x = 85,912,043.77/6,022.69
  6. Step 6: Final answer
    x = 14,264.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.