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Finding the Third Proportional to 3,693.75 and 7,967.25

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Solution

The third proportional to 3,693.75 and 7,967.25 is: 17,184.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.75 : 7,967.25 = 7,967.25 : x
  2. Step 2: Convert to fraction form
    3,693.75/7,967.25 = 7,967.25/x
  3. Step 3: Cross multiply
    3,693.75x = 7,967.25 × 7,967.25
  4. Step 4: Simplify right side
    3,693.75x = 63,477,072.56
  5. Step 5: Solve for x
    x = 63,477,072.56/3,693.75
  6. Step 6: Final answer
    x = 17,184.99

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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.