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Finding the Third Proportional to 1,201 and 2,522.75

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Solution

The third proportional to 1,201 and 2,522.75 is: 5,299.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201 : 2,522.75 = 2,522.75 : x
  2. Step 2: Convert to fraction form
    1,201/2,522.75 = 2,522.75/x
  3. Step 3: Cross multiply
    1,201x = 2,522.75 × 2,522.75
  4. Step 4: Simplify right side
    1,201x = 6,364,267.56
  5. Step 5: Solve for x
    x = 6,364,267.56/1,201
  6. Step 6: Final answer
    x = 5,299.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.