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Finding the Third Proportional to 2,265.75 and 3,380.63

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Solution

The third proportional to 2,265.75 and 3,380.63 is: 5,044.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.75 : 3,380.63 = 3,380.63 : x
  2. Step 2: Convert to fraction form
    2,265.75/3,380.63 = 3,380.63/x
  3. Step 3: Cross multiply
    2,265.75x = 3,380.63 × 3,380.63
  4. Step 4: Simplify right side
    2,265.75x = 11,428,625.39
  5. Step 5: Solve for x
    x = 11,428,625.39/2,265.75
  6. Step 6: Final answer
    x = 5,044.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.