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Finding the Third Proportional to 6,525 and 7,443

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Solution

The third proportional to 6,525 and 7,443 is: 8,490.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525 : 7,443 = 7,443 : x
  2. Step 2: Convert to fraction form
    6,525/7,443 = 7,443/x
  3. Step 3: Cross multiply
    6,525x = 7,443 × 7,443
  4. Step 4: Simplify right side
    6,525x = 55,398,249
  5. Step 5: Solve for x
    x = 55,398,249/6,525
  6. Step 6: Final answer
    x = 8,490.15

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.