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Finding the Third Proportional to 23,138 and 47,138

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Solution

The third proportional to 23,138 and 47,138 is: 96,032.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,138 : 47,138 = 47,138 : x
  2. Step 2: Convert to fraction form
    23,138/47,138 = 47,138/x
  3. Step 3: Cross multiply
    23,138x = 47,138 × 47,138
  4. Step 4: Simplify right side
    23,138x = 2,221,991,044
  5. Step 5: Solve for x
    x = 2,221,991,044/23,138
  6. Step 6: Final answer
    x = 96,032.11

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.