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Finding the Third Proportional to 5,393.25 and 11,784.38

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Solution

The third proportional to 5,393.25 and 11,784.38 is: 25,749.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393.25 : 11,784.38 = 11,784.38 : x
  2. Step 2: Convert to fraction form
    5,393.25/11,784.38 = 11,784.38/x
  3. Step 3: Cross multiply
    5,393.25x = 11,784.38 × 11,784.38
  4. Step 4: Simplify right side
    5,393.25x = 138,871,494.14
  5. Step 5: Solve for x
    x = 138,871,494.14/5,393.25
  6. Step 6: Final answer
    x = 25,749.13

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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.