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Finding the Third Proportional to 32,017 and 68,966

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Solution

The third proportional to 32,017 and 68,966 is: 148,555.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,017 : 68,966 = 68,966 : x
  2. Step 2: Convert to fraction form
    32,017/68,966 = 68,966/x
  3. Step 3: Cross multiply
    32,017x = 68,966 × 68,966
  4. Step 4: Simplify right side
    32,017x = 4,756,309,156
  5. Step 5: Solve for x
    x = 4,756,309,156/32,017
  6. Step 6: Final answer
    x = 148,555.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.