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Finding the Third Proportional to 26,563.50 and 34,479

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Solution

The third proportional to 26,563.50 and 34,479 is: 44,753.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,563.50 : 34,479 = 34,479 : x
  2. Step 2: Convert to fraction form
    26,563.50/34,479 = 34,479/x
  3. Step 3: Cross multiply
    26,563.50x = 34,479 × 34,479
  4. Step 4: Simplify right side
    26,563.50x = 1,188,801,441
  5. Step 5: Solve for x
    x = 1,188,801,441/26,563.50
  6. Step 6: Final answer
    x = 44,753.19

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.