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Finding the Third Proportional to 5,784.75 and 11,073.38

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Solution

The third proportional to 5,784.75 and 11,073.38 is: 21,197.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.75 : 11,073.38 = 11,073.38 : x
  2. Step 2: Convert to fraction form
    5,784.75/11,073.38 = 11,073.38/x
  3. Step 3: Cross multiply
    5,784.75x = 11,073.38 × 11,073.38
  4. Step 4: Simplify right side
    5,784.75x = 122,619,633.89
  5. Step 5: Solve for x
    x = 122,619,633.89/5,784.75
  6. Step 6: Final answer
    x = 21,197.05

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.