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Finding the Third Proportional to 11,038 and 23,957

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Solution

The third proportional to 11,038 and 23,957 is: 51,996.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,038 : 23,957 = 23,957 : x
  2. Step 2: Convert to fraction form
    11,038/23,957 = 23,957/x
  3. Step 3: Cross multiply
    11,038x = 23,957 × 23,957
  4. Step 4: Simplify right side
    11,038x = 573,937,849
  5. Step 5: Solve for x
    x = 573,937,849/11,038
  6. Step 6: Final answer
    x = 51,996.54

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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.