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Finding the Third Proportional to 6,596 and 15,311

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Solution

The third proportional to 6,596 and 15,311 is: 35,540.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596 : 15,311 = 15,311 : x
  2. Step 2: Convert to fraction form
    6,596/15,311 = 15,311/x
  3. Step 3: Cross multiply
    6,596x = 15,311 × 15,311
  4. Step 4: Simplify right side
    6,596x = 234,426,721
  5. Step 5: Solve for x
    x = 234,426,721/6,596
  6. Step 6: Final answer
    x = 35,540.74

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.