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Finding the Third Proportional to 2,599 and 5,438

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Solution

The third proportional to 2,599 and 5,438 is: 11,378.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599 : 5,438 = 5,438 : x
  2. Step 2: Convert to fraction form
    2,599/5,438 = 5,438/x
  3. Step 3: Cross multiply
    2,599x = 5,438 × 5,438
  4. Step 4: Simplify right side
    2,599x = 29,571,844
  5. Step 5: Solve for x
    x = 29,571,844/2,599
  6. Step 6: Final answer
    x = 11,378.16

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.