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Finding the Third Proportional to 29,819 and 61,022

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Solution

The third proportional to 29,819 and 61,022 is: 124,876.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,819 : 61,022 = 61,022 : x
  2. Step 2: Convert to fraction form
    29,819/61,022 = 61,022/x
  3. Step 3: Cross multiply
    29,819x = 61,022 × 61,022
  4. Step 4: Simplify right side
    29,819x = 3,723,684,484
  5. Step 5: Solve for x
    x = 3,723,684,484/29,819
  6. Step 6: Final answer
    x = 124,876.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.