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Finding the Third Proportional to 6,380 and 9,525

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Solution

The third proportional to 6,380 and 9,525 is: 14,220.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380 : 9,525 = 9,525 : x
  2. Step 2: Convert to fraction form
    6,380/9,525 = 9,525/x
  3. Step 3: Cross multiply
    6,380x = 9,525 × 9,525
  4. Step 4: Simplify right side
    6,380x = 90,725,625
  5. Step 5: Solve for x
    x = 90,725,625/6,380
  6. Step 6: Final answer
    x = 14,220.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.