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Finding the Third Proportional to 15,942 and 33,707

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Solution

The third proportional to 15,942 and 33,707 is: 71,268.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,942 : 33,707 = 33,707 : x
  2. Step 2: Convert to fraction form
    15,942/33,707 = 33,707/x
  3. Step 3: Cross multiply
    15,942x = 33,707 × 33,707
  4. Step 4: Simplify right side
    15,942x = 1,136,161,849
  5. Step 5: Solve for x
    x = 1,136,161,849/15,942
  6. Step 6: Final answer
    x = 71,268.46

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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.