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Finding the Third Proportional to 4,214 and 10,211

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Solution

The third proportional to 4,214 and 10,211 is: 24,742.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214 : 10,211 = 10,211 : x
  2. Step 2: Convert to fraction form
    4,214/10,211 = 10,211/x
  3. Step 3: Cross multiply
    4,214x = 10,211 × 10,211
  4. Step 4: Simplify right side
    4,214x = 104,264,521
  5. Step 5: Solve for x
    x = 104,264,521/4,214
  6. Step 6: Final answer
    x = 24,742.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.