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Finding the Third Proportional to 45,341 and 63,736

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Solution

The third proportional to 45,341 and 63,736 is: 89,593.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,341 : 63,736 = 63,736 : x
  2. Step 2: Convert to fraction form
    45,341/63,736 = 63,736/x
  3. Step 3: Cross multiply
    45,341x = 63,736 × 63,736
  4. Step 4: Simplify right side
    45,341x = 4,062,277,696
  5. Step 5: Solve for x
    x = 4,062,277,696/45,341
  6. Step 6: Final answer
    x = 89,593.91

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.