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Finding the Third Proportional to 2,142 and 4,324

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Solution

The third proportional to 2,142 and 4,324 is: 8,728.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142 : 4,324 = 4,324 : x
  2. Step 2: Convert to fraction form
    2,142/4,324 = 4,324/x
  3. Step 3: Cross multiply
    2,142x = 4,324 × 4,324
  4. Step 4: Simplify right side
    2,142x = 18,696,976
  5. Step 5: Solve for x
    x = 18,696,976/2,142
  6. Step 6: Final answer
    x = 8,728.75

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.