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Finding the Third Proportional to 6,032 and 14,040

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Solution

The third proportional to 6,032 and 14,040 is: 32,679.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032 : 14,040 = 14,040 : x
  2. Step 2: Convert to fraction form
    6,032/14,040 = 14,040/x
  3. Step 3: Cross multiply
    6,032x = 14,040 × 14,040
  4. Step 4: Simplify right side
    6,032x = 197,121,600
  5. Step 5: Solve for x
    x = 197,121,600/6,032
  6. Step 6: Final answer
    x = 32,679.31

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.