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Finding the Third Proportional to 2,438.15 and 5,246.32

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Solution

The third proportional to 2,438.15 and 5,246.32 is: 11,288.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.15 : 5,246.32 = 5,246.32 : x
  2. Step 2: Convert to fraction form
    2,438.15/5,246.32 = 5,246.32/x
  3. Step 3: Cross multiply
    2,438.15x = 5,246.32 × 5,246.32
  4. Step 4: Simplify right side
    2,438.15x = 27,523,844.16
  5. Step 5: Solve for x
    x = 27,523,844.16/2,438.15
  6. Step 6: Final answer
    x = 11,288.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.