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Finding the Third Proportional to 6,575 and 7,799

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Solution

The third proportional to 6,575 and 7,799 is: 9,250.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575 : 7,799 = 7,799 : x
  2. Step 2: Convert to fraction form
    6,575/7,799 = 7,799/x
  3. Step 3: Cross multiply
    6,575x = 7,799 × 7,799
  4. Step 4: Simplify right side
    6,575x = 60,824,401
  5. Step 5: Solve for x
    x = 60,824,401/6,575
  6. Step 6: Final answer
    x = 9,250.86

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.