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Finding the Third Proportional to 15,942 and 33,706

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Solution

The third proportional to 15,942 and 33,706 is: 71,264.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,942 : 33,706 = 33,706 : x
  2. Step 2: Convert to fraction form
    15,942/33,706 = 33,706/x
  3. Step 3: Cross multiply
    15,942x = 33,706 × 33,706
  4. Step 4: Simplify right side
    15,942x = 1,136,094,436
  5. Step 5: Solve for x
    x = 1,136,094,436/15,942
  6. Step 6: Final answer
    x = 71,264.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.