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Finding the Third Proportional to 36,490 and 79,796

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Solution

The third proportional to 36,490 and 79,796 is: 174,497.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,490 : 79,796 = 79,796 : x
  2. Step 2: Convert to fraction form
    36,490/79,796 = 79,796/x
  3. Step 3: Cross multiply
    36,490x = 79,796 × 79,796
  4. Step 4: Simplify right side
    36,490x = 6,367,401,616
  5. Step 5: Solve for x
    x = 6,367,401,616/36,490
  6. Step 6: Final answer
    x = 174,497.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.