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Finding the Third Proportional to 4,314 and 9,277

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Solution

The third proportional to 4,314 and 9,277 is: 19,949.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314 : 9,277 = 9,277 : x
  2. Step 2: Convert to fraction form
    4,314/9,277 = 9,277/x
  3. Step 3: Cross multiply
    4,314x = 9,277 × 9,277
  4. Step 4: Simplify right side
    4,314x = 86,062,729
  5. Step 5: Solve for x
    x = 86,062,729/4,314
  6. Step 6: Final answer
    x = 19,949.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.