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Finding the Third Proportional to 36,984 and 79,332

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Solution

The third proportional to 36,984 and 79,332 is: 170,169.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,984 : 79,332 = 79,332 : x
  2. Step 2: Convert to fraction form
    36,984/79,332 = 79,332/x
  3. Step 3: Cross multiply
    36,984x = 79,332 × 79,332
  4. Step 4: Simplify right side
    36,984x = 6,293,566,224
  5. Step 5: Solve for x
    x = 6,293,566,224/36,984
  6. Step 6: Final answer
    x = 170,169.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.