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Finding the Third Proportional to 5,114 and 11,101

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Solution

The third proportional to 5,114 and 11,101 is: 24,097.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114 : 11,101 = 11,101 : x
  2. Step 2: Convert to fraction form
    5,114/11,101 = 11,101/x
  3. Step 3: Cross multiply
    5,114x = 11,101 × 11,101
  4. Step 4: Simplify right side
    5,114x = 123,232,201
  5. Step 5: Solve for x
    x = 123,232,201/5,114
  6. Step 6: Final answer
    x = 24,097.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.