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Finding the Third Proportional to 5,952 and 14,032

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Solution

The third proportional to 5,952 and 14,032 is: 33,080.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952 : 14,032 = 14,032 : x
  2. Step 2: Convert to fraction form
    5,952/14,032 = 14,032/x
  3. Step 3: Cross multiply
    5,952x = 14,032 × 14,032
  4. Step 4: Simplify right side
    5,952x = 196,897,024
  5. Step 5: Solve for x
    x = 196,897,024/5,952
  6. Step 6: Final answer
    x = 33,080.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.