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Finding the Third Proportional to 2,142 and 4,389

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Solution

The third proportional to 2,142 and 4,389 is: 8,993.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142 : 4,389 = 4,389 : x
  2. Step 2: Convert to fraction form
    2,142/4,389 = 4,389/x
  3. Step 3: Cross multiply
    2,142x = 4,389 × 4,389
  4. Step 4: Simplify right side
    2,142x = 19,263,321
  5. Step 5: Solve for x
    x = 19,263,321/2,142
  6. Step 6: Final answer
    x = 8,993.15

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.