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Finding the Third Proportional to 32,977.13 and 47,764.69

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Solution

The third proportional to 32,977.13 and 47,764.69 is: 69,183.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,977.13 : 47,764.69 = 47,764.69 : x
  2. Step 2: Convert to fraction form
    32,977.13/47,764.69 = 47,764.69/x
  3. Step 3: Cross multiply
    32,977.13x = 47,764.69 × 47,764.69
  4. Step 4: Simplify right side
    32,977.13x = 2,281,465,371.97
  5. Step 5: Solve for x
    x = 2,281,465,371.97/32,977.13
  6. Step 6: Final answer
    x = 69,183.27

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.