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Finding the Third Proportional to 5,695 and 13,277

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Solution

The third proportional to 5,695 and 13,277 is: 30,953.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695 : 13,277 = 13,277 : x
  2. Step 2: Convert to fraction form
    5,695/13,277 = 13,277/x
  3. Step 3: Cross multiply
    5,695x = 13,277 × 13,277
  4. Step 4: Simplify right side
    5,695x = 176,278,729
  5. Step 5: Solve for x
    x = 176,278,729/5,695
  6. Step 6: Final answer
    x = 30,953.24

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.