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Finding the Third Proportional to 13,000.50 and 27,549

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Solution

The third proportional to 13,000.50 and 27,549 is: 58,378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.50 : 27,549 = 27,549 : x
  2. Step 2: Convert to fraction form
    13,000.50/27,549 = 27,549/x
  3. Step 3: Cross multiply
    13,000.50x = 27,549 × 27,549
  4. Step 4: Simplify right side
    13,000.50x = 758,947,401
  5. Step 5: Solve for x
    x = 758,947,401/13,000.50
  6. Step 6: Final answer
    x = 58,378.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.