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Finding the Third Proportional to 32,669 and 47,742

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Solution

The third proportional to 32,669 and 47,742 is: 69,769.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,669 : 47,742 = 47,742 : x
  2. Step 2: Convert to fraction form
    32,669/47,742 = 47,742/x
  3. Step 3: Cross multiply
    32,669x = 47,742 × 47,742
  4. Step 4: Simplify right side
    32,669x = 2,279,298,564
  5. Step 5: Solve for x
    x = 2,279,298,564/32,669
  6. Step 6: Final answer
    x = 69,769.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.