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Finding the Third Proportional to 5,546.13 and 12,064.19

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Solution

The third proportional to 5,546.13 and 12,064.19 is: 26,242.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546.13 : 12,064.19 = 12,064.19 : x
  2. Step 2: Convert to fraction form
    5,546.13/12,064.19 = 12,064.19/x
  3. Step 3: Cross multiply
    5,546.13x = 12,064.19 × 12,064.19
  4. Step 4: Simplify right side
    5,546.13x = 145,544,620.04
  5. Step 5: Solve for x
    x = 145,544,620.04/5,546.13
  6. Step 6: Final answer
    x = 26,242.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.