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Finding the Third Proportional to 9,074.25 and 13,514.06

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Solution

The third proportional to 9,074.25 and 13,514.06 is: 20,126.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,074.25 : 13,514.06 = 13,514.06 : x
  2. Step 2: Convert to fraction form
    9,074.25/13,514.06 = 13,514.06/x
  3. Step 3: Cross multiply
    9,074.25x = 13,514.06 × 13,514.06
  4. Step 4: Simplify right side
    9,074.25x = 182,629,885.25
  5. Step 5: Solve for x
    x = 182,629,885.25/9,074.25
  6. Step 6: Final answer
    x = 20,126.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.