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Finding the Third Proportional to 7,022.75 and 10,514.25

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Solution

The third proportional to 7,022.75 and 10,514.25 is: 15,741.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,022.75 : 10,514.25 = 10,514.25 : x
  2. Step 2: Convert to fraction form
    7,022.75/10,514.25 = 10,514.25/x
  3. Step 3: Cross multiply
    7,022.75x = 10,514.25 × 10,514.25
  4. Step 4: Simplify right side
    7,022.75x = 110,549,453.06
  5. Step 5: Solve for x
    x = 110,549,453.06/7,022.75
  6. Step 6: Final answer
    x = 15,741.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.