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Finding the Third Proportional to 7,400.25 and 15,986.25

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Solution

The third proportional to 7,400.25 and 15,986.25 is: 34,533.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,400.25 : 15,986.25 = 15,986.25 : x
  2. Step 2: Convert to fraction form
    7,400.25/15,986.25 = 15,986.25/x
  3. Step 3: Cross multiply
    7,400.25x = 15,986.25 × 15,986.25
  4. Step 4: Simplify right side
    7,400.25x = 255,560,189.06
  5. Step 5: Solve for x
    x = 255,560,189.06/7,400.25
  6. Step 6: Final answer
    x = 34,533.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.