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Finding the Third Proportional to 17,056 and 31,328

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Solution

The third proportional to 17,056 and 31,328 is: 57,542.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,056 : 31,328 = 31,328 : x
  2. Step 2: Convert to fraction form
    17,056/31,328 = 31,328/x
  3. Step 3: Cross multiply
    17,056x = 31,328 × 31,328
  4. Step 4: Simplify right side
    17,056x = 981,443,584
  5. Step 5: Solve for x
    x = 981,443,584/17,056
  6. Step 6: Final answer
    x = 57,542.42

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.