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Finding the Third Proportional to 32,110.17 and 69,739.10

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Solution

The third proportional to 32,110.17 and 69,739.10 is: 151,464.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,110.17 : 69,739.10 = 69,739.10 : x
  2. Step 2: Convert to fraction form
    32,110.17/69,739.10 = 69,739.10/x
  3. Step 3: Cross multiply
    32,110.17x = 69,739.10 × 69,739.10
  4. Step 4: Simplify right side
    32,110.17x = 4,863,542,286.74
  5. Step 5: Solve for x
    x = 4,863,542,286.74/32,110.17
  6. Step 6: Final answer
    x = 151,464.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.