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Finding the Third Proportional to 2,137 and 4,319

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Solution

The third proportional to 2,137 and 4,319 is: 8,728.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137 : 4,319 = 4,319 : x
  2. Step 2: Convert to fraction form
    2,137/4,319 = 4,319/x
  3. Step 3: Cross multiply
    2,137x = 4,319 × 4,319
  4. Step 4: Simplify right side
    2,137x = 18,653,761
  5. Step 5: Solve for x
    x = 18,653,761/2,137
  6. Step 6: Final answer
    x = 8,728.95

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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.