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Finding the Third Proportional to 29,742 and 66,045

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Solution

The third proportional to 29,742 and 66,045 is: 146,659.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,742 : 66,045 = 66,045 : x
  2. Step 2: Convert to fraction form
    29,742/66,045 = 66,045/x
  3. Step 3: Cross multiply
    29,742x = 66,045 × 66,045
  4. Step 4: Simplify right side
    29,742x = 4,361,942,025
  5. Step 5: Solve for x
    x = 4,361,942,025/29,742
  6. Step 6: Final answer
    x = 146,659.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.