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Finding the Third Proportional to 34,614 and 54,226.50

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Solution

The third proportional to 34,614 and 54,226.50 is: 84,951.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,614 : 54,226.50 = 54,226.50 : x
  2. Step 2: Convert to fraction form
    34,614/54,226.50 = 54,226.50/x
  3. Step 3: Cross multiply
    34,614x = 54,226.50 × 54,226.50
  4. Step 4: Simplify right side
    34,614x = 2,940,513,302.25
  5. Step 5: Solve for x
    x = 2,940,513,302.25/34,614
  6. Step 6: Final answer
    x = 84,951.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.