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Finding the Third Proportional to 2,353 and 5,138

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Solution

The third proportional to 2,353 and 5,138 is: 11,219.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353 : 5,138 = 5,138 : x
  2. Step 2: Convert to fraction form
    2,353/5,138 = 5,138/x
  3. Step 3: Cross multiply
    2,353x = 5,138 × 5,138
  4. Step 4: Simplify right side
    2,353x = 26,399,044
  5. Step 5: Solve for x
    x = 26,399,044/2,353
  6. Step 6: Final answer
    x = 11,219.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.