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Finding the Third Proportional to 4,288 and 9,317

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Solution

The third proportional to 4,288 and 9,317 is: 20,244.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,288 : 9,317 = 9,317 : x
  2. Step 2: Convert to fraction form
    4,288/9,317 = 9,317/x
  3. Step 3: Cross multiply
    4,288x = 9,317 × 9,317
  4. Step 4: Simplify right side
    4,288x = 86,806,489
  5. Step 5: Solve for x
    x = 86,806,489/4,288
  6. Step 6: Final answer
    x = 20,244.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.