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Finding the Third Proportional to 4,220 and 9,860

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Solution

The third proportional to 4,220 and 9,860 is: 23,037.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,220 : 9,860 = 9,860 : x
  2. Step 2: Convert to fraction form
    4,220/9,860 = 9,860/x
  3. Step 3: Cross multiply
    4,220x = 9,860 × 9,860
  4. Step 4: Simplify right side
    4,220x = 97,219,600
  5. Step 5: Solve for x
    x = 97,219,600/4,220
  6. Step 6: Final answer
    x = 23,037.82

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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.