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Finding the Third Proportional to 4,216 and 9,850

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Solution

The third proportional to 4,216 and 9,850 is: 23,012.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216 : 9,850 = 9,850 : x
  2. Step 2: Convert to fraction form
    4,216/9,850 = 9,850/x
  3. Step 3: Cross multiply
    4,216x = 9,850 × 9,850
  4. Step 4: Simplify right side
    4,216x = 97,022,500
  5. Step 5: Solve for x
    x = 97,022,500/4,216
  6. Step 6: Final answer
    x = 23,012.93

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.