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Finding the Third Proportional to 36,544 and 78,630

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Solution

The third proportional to 36,544 and 78,630 is: 169,184.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,544 : 78,630 = 78,630 : x
  2. Step 2: Convert to fraction form
    36,544/78,630 = 78,630/x
  3. Step 3: Cross multiply
    36,544x = 78,630 × 78,630
  4. Step 4: Simplify right side
    36,544x = 6,182,676,900
  5. Step 5: Solve for x
    x = 6,182,676,900/36,544
  6. Step 6: Final answer
    x = 169,184.46

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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.