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Finding the Third Proportional to 2,546.02 and 5,399.58

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Solution

The third proportional to 2,546.02 and 5,399.58 is: 11,451.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.02 : 5,399.58 = 5,399.58 : x
  2. Step 2: Convert to fraction form
    2,546.02/5,399.58 = 5,399.58/x
  3. Step 3: Cross multiply
    2,546.02x = 5,399.58 × 5,399.58
  4. Step 4: Simplify right side
    2,546.02x = 29,155,443.93
  5. Step 5: Solve for x
    x = 29,155,443.93/2,546.02
  6. Step 6: Final answer
    x = 11,451.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.