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Finding the Third Proportional to 32,463.28 and 67,523.63

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Solution

The third proportional to 32,463.28 and 67,523.63 is: 140,449.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,463.28 : 67,523.63 = 67,523.63 : x
  2. Step 2: Convert to fraction form
    32,463.28/67,523.63 = 67,523.63/x
  3. Step 3: Cross multiply
    32,463.28x = 67,523.63 × 67,523.63
  4. Step 4: Simplify right side
    32,463.28x = 4,559,439,933.14
  5. Step 5: Solve for x
    x = 4,559,439,933.14/32,463.28
  6. Step 6: Final answer
    x = 140,449.14

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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.