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Finding the Third Proportional to 4,462 and 10,091

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Solution

The third proportional to 4,462 and 10,091 is: 22,821.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462 : 10,091 = 10,091 : x
  2. Step 2: Convert to fraction form
    4,462/10,091 = 10,091/x
  3. Step 3: Cross multiply
    4,462x = 10,091 × 10,091
  4. Step 4: Simplify right side
    4,462x = 101,828,281
  5. Step 5: Solve for x
    x = 101,828,281/4,462
  6. Step 6: Final answer
    x = 22,821.22

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.