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Finding the Third Proportional to 29,542 and 64,825

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Solution

The third proportional to 29,542 and 64,825 is: 142,247.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,542 : 64,825 = 64,825 : x
  2. Step 2: Convert to fraction form
    29,542/64,825 = 64,825/x
  3. Step 3: Cross multiply
    29,542x = 64,825 × 64,825
  4. Step 4: Simplify right side
    29,542x = 4,202,280,625
  5. Step 5: Solve for x
    x = 4,202,280,625/29,542
  6. Step 6: Final answer
    x = 142,247.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.