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Finding the Third Proportional to 8,257 and 17,972

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Solution

The third proportional to 8,257 and 17,972 is: 39,117.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257 : 17,972 = 17,972 : x
  2. Step 2: Convert to fraction form
    8,257/17,972 = 17,972/x
  3. Step 3: Cross multiply
    8,257x = 17,972 × 17,972
  4. Step 4: Simplify right side
    8,257x = 322,992,784
  5. Step 5: Solve for x
    x = 322,992,784/8,257
  6. Step 6: Final answer
    x = 39,117.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.