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Finding the Third Proportional to 29,395 and 64,622

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Solution

The third proportional to 29,395 and 64,622 is: 142,065.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,395 : 64,622 = 64,622 : x
  2. Step 2: Convert to fraction form
    29,395/64,622 = 64,622/x
  3. Step 3: Cross multiply
    29,395x = 64,622 × 64,622
  4. Step 4: Simplify right side
    29,395x = 4,176,002,884
  5. Step 5: Solve for x
    x = 4,176,002,884/29,395
  6. Step 6: Final answer
    x = 142,065.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.