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Finding the Third Proportional to 32,438 and 67,306

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Solution

The third proportional to 32,438 and 67,306 is: 139,654.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,438 : 67,306 = 67,306 : x
  2. Step 2: Convert to fraction form
    32,438/67,306 = 67,306/x
  3. Step 3: Cross multiply
    32,438x = 67,306 × 67,306
  4. Step 4: Simplify right side
    32,438x = 4,530,097,636
  5. Step 5: Solve for x
    x = 4,530,097,636/32,438
  6. Step 6: Final answer
    x = 139,654.04

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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.