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Finding the Third Proportional to 36,477 and 79,345.13

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Solution

The third proportional to 36,477 and 79,345.13 is: 172,592.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,477 : 79,345.13 = 79,345.13 : x
  2. Step 2: Convert to fraction form
    36,477/79,345.13 = 79,345.13/x
  3. Step 3: Cross multiply
    36,477x = 79,345.13 × 79,345.13
  4. Step 4: Simplify right side
    36,477x = 6,295,648,861.27
  5. Step 5: Solve for x
    x = 6,295,648,861.27/36,477
  6. Step 6: Final answer
    x = 172,592.29

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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.