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Finding the Third Proportional to 13,434 and 28,593

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Solution

The third proportional to 13,434 and 28,593 is: 60,857.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,434 : 28,593 = 28,593 : x
  2. Step 2: Convert to fraction form
    13,434/28,593 = 28,593/x
  3. Step 3: Cross multiply
    13,434x = 28,593 × 28,593
  4. Step 4: Simplify right side
    13,434x = 817,559,649
  5. Step 5: Solve for x
    x = 817,559,649/13,434
  6. Step 6: Final answer
    x = 60,857.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.