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Finding the Third Proportional to 4,061.25 and 8,816.06

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Solution

The third proportional to 4,061.25 and 8,816.06 is: 19,137.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,061.25 : 8,816.06 = 8,816.06 : x
  2. Step 2: Convert to fraction form
    4,061.25/8,816.06 = 8,816.06/x
  3. Step 3: Cross multiply
    4,061.25x = 8,816.06 × 8,816.06
  4. Step 4: Simplify right side
    4,061.25x = 77,722,958.00
  5. Step 5: Solve for x
    x = 77,722,958.00/4,061.25
  6. Step 6: Final answer
    x = 19,137.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.