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Finding the Third Proportional to 2,460.38 and 5,399.16

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Solution

The third proportional to 2,460.38 and 5,399.16 is: 11,848.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.38 : 5,399.16 = 5,399.16 : x
  2. Step 2: Convert to fraction form
    2,460.38/5,399.16 = 5,399.16/x
  3. Step 3: Cross multiply
    2,460.38x = 5,399.16 × 5,399.16
  4. Step 4: Simplify right side
    2,460.38x = 29,150,888.21
  5. Step 5: Solve for x
    x = 29,150,888.21/2,460.38
  6. Step 6: Final answer
    x = 11,848.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.