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Finding the Third Proportional to 5,850 and 13,984

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Solution

The third proportional to 5,850 and 13,984 is: 33,427.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,850 : 13,984 = 13,984 : x
  2. Step 2: Convert to fraction form
    5,850/13,984 = 13,984/x
  3. Step 3: Cross multiply
    5,850x = 13,984 × 13,984
  4. Step 4: Simplify right side
    5,850x = 195,552,256
  5. Step 5: Solve for x
    x = 195,552,256/5,850
  6. Step 6: Final answer
    x = 33,427.74

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.