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Finding the Third Proportional to 3,363.75 and 7,816.88

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Solution

The third proportional to 3,363.75 and 7,816.88 is: 18,165.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,363.75 : 7,816.88 = 7,816.88 : x
  2. Step 2: Convert to fraction form
    3,363.75/7,816.88 = 7,816.88/x
  3. Step 3: Cross multiply
    3,363.75x = 7,816.88 × 7,816.88
  4. Step 4: Simplify right side
    3,363.75x = 61,103,534.77
  5. Step 5: Solve for x
    x = 61,103,534.77/3,363.75
  6. Step 6: Final answer
    x = 18,165.30

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.