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Finding the Third Proportional to 4,712 and 10,051

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Solution

The third proportional to 4,712 and 10,051 is: 21,439.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712 : 10,051 = 10,051 : x
  2. Step 2: Convert to fraction form
    4,712/10,051 = 10,051/x
  3. Step 3: Cross multiply
    4,712x = 10,051 × 10,051
  4. Step 4: Simplify right side
    4,712x = 101,022,601
  5. Step 5: Solve for x
    x = 101,022,601/4,712
  6. Step 6: Final answer
    x = 21,439.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.