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Finding the Third Proportional to 36,935 and 80,553

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Solution

The third proportional to 36,935 and 80,553 is: 175,681.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,935 : 80,553 = 80,553 : x
  2. Step 2: Convert to fraction form
    36,935/80,553 = 80,553/x
  3. Step 3: Cross multiply
    36,935x = 80,553 × 80,553
  4. Step 4: Simplify right side
    36,935x = 6,488,785,809
  5. Step 5: Solve for x
    x = 6,488,785,809/36,935
  6. Step 6: Final answer
    x = 175,681.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.