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Finding the Third Proportional to 36,468 and 80,072

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Solution

The third proportional to 36,468 and 80,072 is: 175,812.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,468 : 80,072 = 80,072 : x
  2. Step 2: Convert to fraction form
    36,468/80,072 = 80,072/x
  3. Step 3: Cross multiply
    36,468x = 80,072 × 80,072
  4. Step 4: Simplify right side
    36,468x = 6,411,525,184
  5. Step 5: Solve for x
    x = 6,411,525,184/36,468
  6. Step 6: Final answer
    x = 175,812.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.