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Finding the Third Proportional to 2,235.75 and 3,822.75

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Solution

The third proportional to 2,235.75 and 3,822.75 is: 6,536.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.75 : 3,822.75 = 3,822.75 : x
  2. Step 2: Convert to fraction form
    2,235.75/3,822.75 = 3,822.75/x
  3. Step 3: Cross multiply
    2,235.75x = 3,822.75 × 3,822.75
  4. Step 4: Simplify right side
    2,235.75x = 14,613,417.56
  5. Step 5: Solve for x
    x = 14,613,417.56/2,235.75
  6. Step 6: Final answer
    x = 6,536.25

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.