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Finding the Third Proportional to 5,309.93 and 11,643.12

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Solution

The third proportional to 5,309.93 and 11,643.12 is: 25,529.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.93 : 11,643.12 = 11,643.12 : x
  2. Step 2: Convert to fraction form
    5,309.93/11,643.12 = 11,643.12/x
  3. Step 3: Cross multiply
    5,309.93x = 11,643.12 × 11,643.12
  4. Step 4: Simplify right side
    5,309.93x = 135,562,177.84
  5. Step 5: Solve for x
    x = 135,562,177.84/5,309.93
  6. Step 6: Final answer
    x = 25,529.94

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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.