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Finding the Third Proportional to 2,263.35 and 3,402.24

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Solution

The third proportional to 2,263.35 and 3,402.24 is: 5,114.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.35 : 3,402.24 = 3,402.24 : x
  2. Step 2: Convert to fraction form
    2,263.35/3,402.24 = 3,402.24/x
  3. Step 3: Cross multiply
    2,263.35x = 3,402.24 × 3,402.24
  4. Step 4: Simplify right side
    2,263.35x = 11,575,218.68
  5. Step 5: Solve for x
    x = 11,575,218.68/2,263.35
  6. Step 6: Final answer
    x = 5,114.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.