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Finding the Third Proportional to 4,006 and 5,784

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Solution

The third proportional to 4,006 and 5,784 is: 8,351.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006 : 5,784 = 5,784 : x
  2. Step 2: Convert to fraction form
    4,006/5,784 = 5,784/x
  3. Step 3: Cross multiply
    4,006x = 5,784 × 5,784
  4. Step 4: Simplify right side
    4,006x = 33,454,656
  5. Step 5: Solve for x
    x = 33,454,656/4,006
  6. Step 6: Final answer
    x = 8,351.14

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.