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Finding the Third Proportional to 2,319 and 4,344

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Solution

The third proportional to 2,319 and 4,344 is: 8,137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319 : 4,344 = 4,344 : x
  2. Step 2: Convert to fraction form
    2,319/4,344 = 4,344/x
  3. Step 3: Cross multiply
    2,319x = 4,344 × 4,344
  4. Step 4: Simplify right side
    2,319x = 18,870,336
  5. Step 5: Solve for x
    x = 18,870,336/2,319
  6. Step 6: Final answer
    x = 8,137.27

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.