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Finding the Third Proportional to 30,032 and 69,599

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Solution

The third proportional to 30,032 and 69,599 is: 161,295.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,032 : 69,599 = 69,599 : x
  2. Step 2: Convert to fraction form
    30,032/69,599 = 69,599/x
  3. Step 3: Cross multiply
    30,032x = 69,599 × 69,599
  4. Step 4: Simplify right side
    30,032x = 4,844,020,801
  5. Step 5: Solve for x
    x = 4,844,020,801/30,032
  6. Step 6: Final answer
    x = 161,295.31

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.