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Finding the Third Proportional to 29,272 and 69,022

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Solution

The third proportional to 29,272 and 69,022 is: 162,750.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,272 : 69,022 = 69,022 : x
  2. Step 2: Convert to fraction form
    29,272/69,022 = 69,022/x
  3. Step 3: Cross multiply
    29,272x = 69,022 × 69,022
  4. Step 4: Simplify right side
    29,272x = 4,764,036,484
  5. Step 5: Solve for x
    x = 4,764,036,484/29,272
  6. Step 6: Final answer
    x = 162,750.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.