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Finding the Third Proportional to 47,364 and 67,326

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Solution

The third proportional to 47,364 and 67,326 is: 95,701.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,364 : 67,326 = 67,326 : x
  2. Step 2: Convert to fraction form
    47,364/67,326 = 67,326/x
  3. Step 3: Cross multiply
    47,364x = 67,326 × 67,326
  4. Step 4: Simplify right side
    47,364x = 4,532,790,276
  5. Step 5: Solve for x
    x = 4,532,790,276/47,364
  6. Step 6: Final answer
    x = 95,701.17

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.