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Finding the Third Proportional to 5,285 and 7,549

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Solution

The third proportional to 5,285 and 7,549 is: 10,782.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285 : 7,549 = 7,549 : x
  2. Step 2: Convert to fraction form
    5,285/7,549 = 7,549/x
  3. Step 3: Cross multiply
    5,285x = 7,549 × 7,549
  4. Step 4: Simplify right side
    5,285x = 56,987,401
  5. Step 5: Solve for x
    x = 56,987,401/5,285
  6. Step 6: Final answer
    x = 10,782.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.