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Finding the Third Proportional to 4,395.50 and 7,816.75

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Solution

The third proportional to 4,395.50 and 7,816.75 is: 13,900.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,395.50 : 7,816.75 = 7,816.75 : x
  2. Step 2: Convert to fraction form
    4,395.50/7,816.75 = 7,816.75/x
  3. Step 3: Cross multiply
    4,395.50x = 7,816.75 × 7,816.75
  4. Step 4: Simplify right side
    4,395.50x = 61,101,580.56
  5. Step 5: Solve for x
    x = 61,101,580.56/4,395.50
  6. Step 6: Final answer
    x = 13,900.94

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.