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Finding the Third Proportional to 5,502.94 and 9,028.97

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Solution

The third proportional to 5,502.94 and 9,028.97 is: 14,814.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,502.94 : 9,028.97 = 9,028.97 : x
  2. Step 2: Convert to fraction form
    5,502.94/9,028.97 = 9,028.97/x
  3. Step 3: Cross multiply
    5,502.94x = 9,028.97 × 9,028.97
  4. Step 4: Simplify right side
    5,502.94x = 81,522,276.69
  5. Step 5: Solve for x
    x = 81,522,276.69/5,502.94
  6. Step 6: Final answer
    x = 14,814.32

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.