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Finding the Third Proportional to 32,799 and 70,266

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Solution

The third proportional to 32,799 and 70,266 is: 150,532.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,799 : 70,266 = 70,266 : x
  2. Step 2: Convert to fraction form
    32,799/70,266 = 70,266/x
  3. Step 3: Cross multiply
    32,799x = 70,266 × 70,266
  4. Step 4: Simplify right side
    32,799x = 4,937,310,756
  5. Step 5: Solve for x
    x = 4,937,310,756/32,799
  6. Step 6: Final answer
    x = 150,532.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.