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Finding the Third Proportional to 32,028 and 68,682

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Solution

The third proportional to 32,028 and 68,682 is: 147,284.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,028 : 68,682 = 68,682 : x
  2. Step 2: Convert to fraction form
    32,028/68,682 = 68,682/x
  3. Step 3: Cross multiply
    32,028x = 68,682 × 68,682
  4. Step 4: Simplify right side
    32,028x = 4,717,217,124
  5. Step 5: Solve for x
    x = 4,717,217,124/32,028
  6. Step 6: Final answer
    x = 147,284.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.