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Finding the Third Proportional to 7,144.75 and 15,673.25

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Solution

The third proportional to 7,144.75 and 15,673.25 is: 34,382.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.75 : 15,673.25 = 15,673.25 : x
  2. Step 2: Convert to fraction form
    7,144.75/15,673.25 = 15,673.25/x
  3. Step 3: Cross multiply
    7,144.75x = 15,673.25 × 15,673.25
  4. Step 4: Simplify right side
    7,144.75x = 245,650,765.56
  5. Step 5: Solve for x
    x = 245,650,765.56/7,144.75
  6. Step 6: Final answer
    x = 34,382.00

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.