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Finding the Third Proportional to 901.55 and 2,277.84

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Solution

The third proportional to 901.55 and 2,277.84 is: 5,755.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.55 : 2,277.84 = 2,277.84 : x
  2. Step 2: Convert to fraction form
    901.55/2,277.84 = 2,277.84/x
  3. Step 3: Cross multiply
    901.55x = 2,277.84 × 2,277.84
  4. Step 4: Simplify right side
    901.55x = 5,188,572.15
  5. Step 5: Solve for x
    x = 5,188,572.15/901.55
  6. Step 6: Final answer
    x = 5,755.19

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.