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Finding the Third Proportional to 29,772 and 50,706

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Solution

The third proportional to 29,772 and 50,706 is: 86,359.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,772 : 50,706 = 50,706 : x
  2. Step 2: Convert to fraction form
    29,772/50,706 = 50,706/x
  3. Step 3: Cross multiply
    29,772x = 50,706 × 50,706
  4. Step 4: Simplify right side
    29,772x = 2,571,098,436
  5. Step 5: Solve for x
    x = 2,571,098,436/29,772
  6. Step 6: Final answer
    x = 86,359.61

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.