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Finding the Third Proportional to 32,464.13 and 67,525.13

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Solution

The third proportional to 32,464.13 and 67,525.13 is: 140,451.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,464.13 : 67,525.13 = 67,525.13 : x
  2. Step 2: Convert to fraction form
    32,464.13/67,525.13 = 67,525.13/x
  3. Step 3: Cross multiply
    32,464.13x = 67,525.13 × 67,525.13
  4. Step 4: Simplify right side
    32,464.13x = 4,559,642,506.27
  5. Step 5: Solve for x
    x = 4,559,642,506.27/32,464.13
  6. Step 6: Final answer
    x = 140,451.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.