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Finding the Third Proportional to 29,606 and 47,109

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Solution

The third proportional to 29,606 and 47,109 is: 74,959.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,606 : 47,109 = 47,109 : x
  2. Step 2: Convert to fraction form
    29,606/47,109 = 47,109/x
  3. Step 3: Cross multiply
    29,606x = 47,109 × 47,109
  4. Step 4: Simplify right side
    29,606x = 2,219,257,881
  5. Step 5: Solve for x
    x = 2,219,257,881/29,606
  6. Step 6: Final answer
    x = 74,959.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.