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Finding the Third Proportional to 27,346 and 41,022

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Solution

The third proportional to 27,346 and 41,022 is: 61,537.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,346 : 41,022 = 41,022 : x
  2. Step 2: Convert to fraction form
    27,346/41,022 = 41,022/x
  3. Step 3: Cross multiply
    27,346x = 41,022 × 41,022
  4. Step 4: Simplify right side
    27,346x = 1,682,804,484
  5. Step 5: Solve for x
    x = 1,682,804,484/27,346
  6. Step 6: Final answer
    x = 61,537.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.