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Finding the Third Proportional to 2,114 and 5,747

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Solution

The third proportional to 2,114 and 5,747 is: 15,623.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114 : 5,747 = 5,747 : x
  2. Step 2: Convert to fraction form
    2,114/5,747 = 5,747/x
  3. Step 3: Cross multiply
    2,114x = 5,747 × 5,747
  4. Step 4: Simplify right side
    2,114x = 33,028,009
  5. Step 5: Solve for x
    x = 33,028,009/2,114
  6. Step 6: Final answer
    x = 15,623.47

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.