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Finding the Third Proportional to 39,733 and 90,583

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Solution

The third proportional to 39,733 and 90,583 is: 206,510.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,733 : 90,583 = 90,583 : x
  2. Step 2: Convert to fraction form
    39,733/90,583 = 90,583/x
  3. Step 3: Cross multiply
    39,733x = 90,583 × 90,583
  4. Step 4: Simplify right side
    39,733x = 8,205,279,889
  5. Step 5: Solve for x
    x = 8,205,279,889/39,733
  6. Step 6: Final answer
    x = 206,510.45

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.