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Finding the Third Proportional to 28,972 and 41,326

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Solution

The third proportional to 28,972 and 41,326 is: 58,947.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,972 : 41,326 = 41,326 : x
  2. Step 2: Convert to fraction form
    28,972/41,326 = 41,326/x
  3. Step 3: Cross multiply
    28,972x = 41,326 × 41,326
  4. Step 4: Simplify right side
    28,972x = 1,707,838,276
  5. Step 5: Solve for x
    x = 1,707,838,276/28,972
  6. Step 6: Final answer
    x = 58,947.89

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.