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Finding the Third Proportional to 30,868 and 67,032

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Solution

The third proportional to 30,868 and 67,032 is: 145,564.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,868 : 67,032 = 67,032 : x
  2. Step 2: Convert to fraction form
    30,868/67,032 = 67,032/x
  3. Step 3: Cross multiply
    30,868x = 67,032 × 67,032
  4. Step 4: Simplify right side
    30,868x = 4,493,289,024
  5. Step 5: Solve for x
    x = 4,493,289,024/30,868
  6. Step 6: Final answer
    x = 145,564.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.