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Finding the Third Proportional to 9,092.25 and 12,274.03

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Solution

The third proportional to 9,092.25 and 12,274.03 is: 16,569.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,092.25 : 12,274.03 = 12,274.03 : x
  2. Step 2: Convert to fraction form
    9,092.25/12,274.03 = 12,274.03/x
  3. Step 3: Cross multiply
    9,092.25x = 12,274.03 × 12,274.03
  4. Step 4: Simplify right side
    9,092.25x = 150,651,843.13
  5. Step 5: Solve for x
    x = 150,651,843.13/9,092.25
  6. Step 6: Final answer
    x = 16,569.26

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.