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Finding the Third Proportional to 2,424.19 and 5,235.19

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Solution

The third proportional to 2,424.19 and 5,235.19 is: 11,305.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.19 : 5,235.19 = 5,235.19 : x
  2. Step 2: Convert to fraction form
    2,424.19/5,235.19 = 5,235.19/x
  3. Step 3: Cross multiply
    2,424.19x = 5,235.19 × 5,235.19
  4. Step 4: Simplify right side
    2,424.19x = 27,407,188.16
  5. Step 5: Solve for x
    x = 27,407,188.16/2,424.19
  6. Step 6: Final answer
    x = 11,305.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.