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Finding the Third Proportional to 32,439 and 67,308

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Solution

The third proportional to 32,439 and 67,308 is: 139,658.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,439 : 67,308 = 67,308 : x
  2. Step 2: Convert to fraction form
    32,439/67,308 = 67,308/x
  3. Step 3: Cross multiply
    32,439x = 67,308 × 67,308
  4. Step 4: Simplify right side
    32,439x = 4,530,366,864
  5. Step 5: Solve for x
    x = 4,530,366,864/32,439
  6. Step 6: Final answer
    x = 139,658.03

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.