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Finding the Third Proportional to 4,212 and 9,934

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Solution

The third proportional to 4,212 and 9,934 is: 23,429.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212 : 9,934 = 9,934 : x
  2. Step 2: Convert to fraction form
    4,212/9,934 = 9,934/x
  3. Step 3: Cross multiply
    4,212x = 9,934 × 9,934
  4. Step 4: Simplify right side
    4,212x = 98,684,356
  5. Step 5: Solve for x
    x = 98,684,356/4,212
  6. Step 6: Final answer
    x = 23,429.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.