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Finding the Third Proportional to 29,260 and 69,029

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Solution

The third proportional to 29,260 and 69,029 is: 162,850.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,260 : 69,029 = 69,029 : x
  2. Step 2: Convert to fraction form
    29,260/69,029 = 69,029/x
  3. Step 3: Cross multiply
    29,260x = 69,029 × 69,029
  4. Step 4: Simplify right side
    29,260x = 4,765,002,841
  5. Step 5: Solve for x
    x = 4,765,002,841/29,260
  6. Step 6: Final answer
    x = 162,850.40

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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.