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Finding the Third Proportional to 32,029 and 68,215

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Solution

The third proportional to 32,029 and 68,215 is: 145,283.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,029 : 68,215 = 68,215 : x
  2. Step 2: Convert to fraction form
    32,029/68,215 = 68,215/x
  3. Step 3: Cross multiply
    32,029x = 68,215 × 68,215
  4. Step 4: Simplify right side
    32,029x = 4,653,286,225
  5. Step 5: Solve for x
    x = 4,653,286,225/32,029
  6. Step 6: Final answer
    x = 145,283.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.