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Finding the Third Proportional to 3,838.69 and 8,087.25

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Solution

The third proportional to 3,838.69 and 8,087.25 is: 17,038.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.69 : 8,087.25 = 8,087.25 : x
  2. Step 2: Convert to fraction form
    3,838.69/8,087.25 = 8,087.25/x
  3. Step 3: Cross multiply
    3,838.69x = 8,087.25 × 8,087.25
  4. Step 4: Simplify right side
    3,838.69x = 65,403,612.56
  5. Step 5: Solve for x
    x = 65,403,612.56/3,838.69
  6. Step 6: Final answer
    x = 17,038.01

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.