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Finding the Third Proportional to 5,753 and 12,996

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Solution

The third proportional to 5,753 and 12,996 is: 29,357.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753 : 12,996 = 12,996 : x
  2. Step 2: Convert to fraction form
    5,753/12,996 = 12,996/x
  3. Step 3: Cross multiply
    5,753x = 12,996 × 12,996
  4. Step 4: Simplify right side
    5,753x = 168,896,016
  5. Step 5: Solve for x
    x = 168,896,016/5,753
  6. Step 6: Final answer
    x = 29,357.90

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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.