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Finding the Third Proportional to 29,106 and 43,614

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Solution

The third proportional to 29,106 and 43,614 is: 65,353.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,106 : 43,614 = 43,614 : x
  2. Step 2: Convert to fraction form
    29,106/43,614 = 43,614/x
  3. Step 3: Cross multiply
    29,106x = 43,614 × 43,614
  4. Step 4: Simplify right side
    29,106x = 1,902,180,996
  5. Step 5: Solve for x
    x = 1,902,180,996/29,106
  6. Step 6: Final answer
    x = 65,353.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.