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Finding the Third Proportional to 23,117 and 47,326

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Solution

The third proportional to 23,117 and 47,326 is: 96,887.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,117 : 47,326 = 47,326 : x
  2. Step 2: Convert to fraction form
    23,117/47,326 = 47,326/x
  3. Step 3: Cross multiply
    23,117x = 47,326 × 47,326
  4. Step 4: Simplify right side
    23,117x = 2,239,750,276
  5. Step 5: Solve for x
    x = 2,239,750,276/23,117
  6. Step 6: Final answer
    x = 96,887.58

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.