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Finding the Third Proportional to 4,692 and 6,816.75

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Solution

The third proportional to 4,692 and 6,816.75 is: 9,903.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692 : 6,816.75 = 6,816.75 : x
  2. Step 2: Convert to fraction form
    4,692/6,816.75 = 6,816.75/x
  3. Step 3: Cross multiply
    4,692x = 6,816.75 × 6,816.75
  4. Step 4: Simplify right side
    4,692x = 46,468,080.56
  5. Step 5: Solve for x
    x = 46,468,080.56/4,692
  6. Step 6: Final answer
    x = 9,903.68

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.