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Finding the Third Proportional to 15,706 and 33,159

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Solution

The third proportional to 15,706 and 33,159 is: 70,006.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706 : 33,159 = 33,159 : x
  2. Step 2: Convert to fraction form
    15,706/33,159 = 33,159/x
  3. Step 3: Cross multiply
    15,706x = 33,159 × 33,159
  4. Step 4: Simplify right side
    15,706x = 1,099,519,281
  5. Step 5: Solve for x
    x = 1,099,519,281/15,706
  6. Step 6: Final answer
    x = 70,006.32

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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.