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Finding the Third Proportional to 7,972 and 17,464

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Solution

The third proportional to 7,972 and 17,464 is: 38,257.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,972 : 17,464 = 17,464 : x
  2. Step 2: Convert to fraction form
    7,972/17,464 = 17,464/x
  3. Step 3: Cross multiply
    7,972x = 17,464 × 17,464
  4. Step 4: Simplify right side
    7,972x = 304,991,296
  5. Step 5: Solve for x
    x = 304,991,296/7,972
  6. Step 6: Final answer
    x = 38,257.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.