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Finding the Third Proportional to 4,213.13 and 6,135.75

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Solution

The third proportional to 4,213.13 and 6,135.75 is: 8,935.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213.13 : 6,135.75 = 6,135.75 : x
  2. Step 2: Convert to fraction form
    4,213.13/6,135.75 = 6,135.75/x
  3. Step 3: Cross multiply
    4,213.13x = 6,135.75 × 6,135.75
  4. Step 4: Simplify right side
    4,213.13x = 37,647,428.06
  5. Step 5: Solve for x
    x = 37,647,428.06/4,213.13
  6. Step 6: Final answer
    x = 8,935.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.