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Finding the Third Proportional to 32,048 and 68,524

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Solution

The third proportional to 32,048 and 68,524 is: 146,515.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,048 : 68,524 = 68,524 : x
  2. Step 2: Convert to fraction form
    32,048/68,524 = 68,524/x
  3. Step 3: Cross multiply
    32,048x = 68,524 × 68,524
  4. Step 4: Simplify right side
    32,048x = 4,695,538,576
  5. Step 5: Solve for x
    x = 4,695,538,576/32,048
  6. Step 6: Final answer
    x = 146,515.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.