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Finding the Third Proportional to 32,996 and 73,352

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Solution

The third proportional to 32,996 and 73,352 is: 163,065.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,996 : 73,352 = 73,352 : x
  2. Step 2: Convert to fraction form
    32,996/73,352 = 73,352/x
  3. Step 3: Cross multiply
    32,996x = 73,352 × 73,352
  4. Step 4: Simplify right side
    32,996x = 5,380,515,904
  5. Step 5: Solve for x
    x = 5,380,515,904/32,996
  6. Step 6: Final answer
    x = 163,065.70

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.