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Finding the Third Proportional to 4,216 and 9,874

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Solution

The third proportional to 4,216 and 9,874 is: 23,125.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216 : 9,874 = 9,874 : x
  2. Step 2: Convert to fraction form
    4,216/9,874 = 9,874/x
  3. Step 3: Cross multiply
    4,216x = 9,874 × 9,874
  4. Step 4: Simplify right side
    4,216x = 97,495,876
  5. Step 5: Solve for x
    x = 97,495,876/4,216
  6. Step 6: Final answer
    x = 23,125.21

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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.