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Finding the Third Proportional to 26,666.50 and 61,734

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Solution

The third proportional to 26,666.50 and 61,734 is: 142,916.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,666.50 : 61,734 = 61,734 : x
  2. Step 2: Convert to fraction form
    26,666.50/61,734 = 61,734/x
  3. Step 3: Cross multiply
    26,666.50x = 61,734 × 61,734
  4. Step 4: Simplify right side
    26,666.50x = 3,811,086,756
  5. Step 5: Solve for x
    x = 3,811,086,756/26,666.50
  6. Step 6: Final answer
    x = 142,916.65

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.