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Finding the Third Proportional to 4,533.50 and 6,934.75

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Solution

The third proportional to 4,533.50 and 6,934.75 is: 10,607.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,533.50 : 6,934.75 = 6,934.75 : x
  2. Step 2: Convert to fraction form
    4,533.50/6,934.75 = 6,934.75/x
  3. Step 3: Cross multiply
    4,533.50x = 6,934.75 × 6,934.75
  4. Step 4: Simplify right side
    4,533.50x = 48,090,757.56
  5. Step 5: Solve for x
    x = 48,090,757.56/4,533.50
  6. Step 6: Final answer
    x = 10,607.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.