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Finding the Third Proportional to 36,594 and 79,902

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Solution

The third proportional to 36,594 and 79,902 is: 174,463.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,594 : 79,902 = 79,902 : x
  2. Step 2: Convert to fraction form
    36,594/79,902 = 79,902/x
  3. Step 3: Cross multiply
    36,594x = 79,902 × 79,902
  4. Step 4: Simplify right side
    36,594x = 6,384,329,604
  5. Step 5: Solve for x
    x = 6,384,329,604/36,594
  6. Step 6: Final answer
    x = 174,463.84

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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.