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Finding the Third Proportional to 2,780 and 6,575

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Solution

The third proportional to 2,780 and 6,575 is: 15,550.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780 : 6,575 = 6,575 : x
  2. Step 2: Convert to fraction form
    2,780/6,575 = 6,575/x
  3. Step 3: Cross multiply
    2,780x = 6,575 × 6,575
  4. Step 4: Simplify right side
    2,780x = 43,230,625
  5. Step 5: Solve for x
    x = 43,230,625/2,780
  6. Step 6: Final answer
    x = 15,550.58

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.