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Finding the Third Proportional to 6,972 and 15,039

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Solution

The third proportional to 6,972 and 15,039 is: 32,439.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972 : 15,039 = 15,039 : x
  2. Step 2: Convert to fraction form
    6,972/15,039 = 15,039/x
  3. Step 3: Cross multiply
    6,972x = 15,039 × 15,039
  4. Step 4: Simplify right side
    6,972x = 226,171,521
  5. Step 5: Solve for x
    x = 226,171,521/6,972
  6. Step 6: Final answer
    x = 32,439.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.