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Finding the Third Proportional to 32,508 and 68,283

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Solution

The third proportional to 32,508 and 68,283 is: 143,428.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,508 : 68,283 = 68,283 : x
  2. Step 2: Convert to fraction form
    32,508/68,283 = 68,283/x
  3. Step 3: Cross multiply
    32,508x = 68,283 × 68,283
  4. Step 4: Simplify right side
    32,508x = 4,662,568,089
  5. Step 5: Solve for x
    x = 4,662,568,089/32,508
  6. Step 6: Final answer
    x = 143,428.33

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.