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Finding the Third Proportional to 21,706 and 29,314

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Solution

The third proportional to 21,706 and 29,314 is: 39,588.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,706 : 29,314 = 29,314 : x
  2. Step 2: Convert to fraction form
    21,706/29,314 = 29,314/x
  3. Step 3: Cross multiply
    21,706x = 29,314 × 29,314
  4. Step 4: Simplify right side
    21,706x = 859,310,596
  5. Step 5: Solve for x
    x = 859,310,596/21,706
  6. Step 6: Final answer
    x = 39,588.62

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.