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Finding the Third Proportional to 2,790 and 7,575

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Solution

The third proportional to 2,790 and 7,575 is: 20,566.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790 : 7,575 = 7,575 : x
  2. Step 2: Convert to fraction form
    2,790/7,575 = 7,575/x
  3. Step 3: Cross multiply
    2,790x = 7,575 × 7,575
  4. Step 4: Simplify right side
    2,790x = 57,380,625
  5. Step 5: Solve for x
    x = 57,380,625/2,790
  6. Step 6: Final answer
    x = 20,566.53

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.