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Finding the Third Proportional to 5,957 and 13,850

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Solution

The third proportional to 5,957 and 13,850 is: 32,201.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957 : 13,850 = 13,850 : x
  2. Step 2: Convert to fraction form
    5,957/13,850 = 13,850/x
  3. Step 3: Cross multiply
    5,957x = 13,850 × 13,850
  4. Step 4: Simplify right side
    5,957x = 191,822,500
  5. Step 5: Solve for x
    x = 191,822,500/5,957
  6. Step 6: Final answer
    x = 32,201.19

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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.