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Finding the Third Proportional to 9,169.88 and 19,028.25

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Solution

The third proportional to 9,169.88 and 19,028.25 is: 39,485.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169.88 : 19,028.25 = 19,028.25 : x
  2. Step 2: Convert to fraction form
    9,169.88/19,028.25 = 19,028.25/x
  3. Step 3: Cross multiply
    9,169.88x = 19,028.25 × 19,028.25
  4. Step 4: Simplify right side
    9,169.88x = 362,074,298.06
  5. Step 5: Solve for x
    x = 362,074,298.06/9,169.88
  6. Step 6: Final answer
    x = 39,485.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.