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Finding the Third Proportional to 29,713 and 61,816

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Solution

The third proportional to 29,713 and 61,816 is: 128,604.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,713 : 61,816 = 61,816 : x
  2. Step 2: Convert to fraction form
    29,713/61,816 = 61,816/x
  3. Step 3: Cross multiply
    29,713x = 61,816 × 61,816
  4. Step 4: Simplify right side
    29,713x = 3,821,217,856
  5. Step 5: Solve for x
    x = 3,821,217,856/29,713
  6. Step 6: Final answer
    x = 128,604.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.