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Finding the Third Proportional to 4,277 and 8,953

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Solution

The third proportional to 4,277 and 8,953 is: 18,741.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277 : 8,953 = 8,953 : x
  2. Step 2: Convert to fraction form
    4,277/8,953 = 8,953/x
  3. Step 3: Cross multiply
    4,277x = 8,953 × 8,953
  4. Step 4: Simplify right side
    4,277x = 80,156,209
  5. Step 5: Solve for x
    x = 80,156,209/4,277
  6. Step 6: Final answer
    x = 18,741.22

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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.