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Finding the Third Proportional to 5,893 and 13,957

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Solution

The third proportional to 5,893 and 13,957 is: 33,055.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,893 : 13,957 = 13,957 : x
  2. Step 2: Convert to fraction form
    5,893/13,957 = 13,957/x
  3. Step 3: Cross multiply
    5,893x = 13,957 × 13,957
  4. Step 4: Simplify right side
    5,893x = 194,797,849
  5. Step 5: Solve for x
    x = 194,797,849/5,893
  6. Step 6: Final answer
    x = 33,055.80

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.