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Finding the Third Proportional to 32,796 and 70,370

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Solution

The third proportional to 32,796 and 70,370 is: 150,992.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,796 : 70,370 = 70,370 : x
  2. Step 2: Convert to fraction form
    32,796/70,370 = 70,370/x
  3. Step 3: Cross multiply
    32,796x = 70,370 × 70,370
  4. Step 4: Simplify right side
    32,796x = 4,951,936,900
  5. Step 5: Solve for x
    x = 4,951,936,900/32,796
  6. Step 6: Final answer
    x = 150,992.10

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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.