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Finding the Third Proportional to 15,966 and 32,706

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Solution

The third proportional to 15,966 and 32,706 is: 66,997.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,966 : 32,706 = 32,706 : x
  2. Step 2: Convert to fraction form
    15,966/32,706 = 32,706/x
  3. Step 3: Cross multiply
    15,966x = 32,706 × 32,706
  4. Step 4: Simplify right side
    15,966x = 1,069,682,436
  5. Step 5: Solve for x
    x = 1,069,682,436/15,966
  6. Step 6: Final answer
    x = 66,997.52

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.