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Finding the Third Proportional to 6,314 and 13,438

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Solution

The third proportional to 6,314 and 13,438 is: 28,599.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314 : 13,438 = 13,438 : x
  2. Step 2: Convert to fraction form
    6,314/13,438 = 13,438/x
  3. Step 3: Cross multiply
    6,314x = 13,438 × 13,438
  4. Step 4: Simplify right side
    6,314x = 180,579,844
  5. Step 5: Solve for x
    x = 180,579,844/6,314
  6. Step 6: Final answer
    x = 28,599.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.