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Finding the Third Proportional to 2,047 and 4,118

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Solution

The third proportional to 2,047 and 4,118 is: 8,284.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047 : 4,118 = 4,118 : x
  2. Step 2: Convert to fraction form
    2,047/4,118 = 4,118/x
  3. Step 3: Cross multiply
    2,047x = 4,118 × 4,118
  4. Step 4: Simplify right side
    2,047x = 16,957,924
  5. Step 5: Solve for x
    x = 16,957,924/2,047
  6. Step 6: Final answer
    x = 8,284.28

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.