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Finding the Third Proportional to 6,287.50 and 13,549

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Solution

The third proportional to 6,287.50 and 13,549 is: 29,196.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.50 : 13,549 = 13,549 : x
  2. Step 2: Convert to fraction form
    6,287.50/13,549 = 13,549/x
  3. Step 3: Cross multiply
    6,287.50x = 13,549 × 13,549
  4. Step 4: Simplify right side
    6,287.50x = 183,575,401
  5. Step 5: Solve for x
    x = 183,575,401/6,287.50
  6. Step 6: Final answer
    x = 29,196.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.