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Finding the Third Proportional to 32,429 and 67,288

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Solution

The third proportional to 32,429 and 67,288 is: 139,618.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,429 : 67,288 = 67,288 : x
  2. Step 2: Convert to fraction form
    32,429/67,288 = 67,288/x
  3. Step 3: Cross multiply
    32,429x = 67,288 × 67,288
  4. Step 4: Simplify right side
    32,429x = 4,527,674,944
  5. Step 5: Solve for x
    x = 4,527,674,944/32,429
  6. Step 6: Final answer
    x = 139,618.09

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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.