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Finding the Third Proportional to 4,229 and 8,620

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Solution

The third proportional to 4,229 and 8,620 is: 17,570.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229 : 8,620 = 8,620 : x
  2. Step 2: Convert to fraction form
    4,229/8,620 = 8,620/x
  3. Step 3: Cross multiply
    4,229x = 8,620 × 8,620
  4. Step 4: Simplify right side
    4,229x = 74,304,400
  5. Step 5: Solve for x
    x = 74,304,400/4,229
  6. Step 6: Final answer
    x = 17,570.21

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.