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Finding the Third Proportional to 5,788.97 and 7,844.34

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Solution

The third proportional to 5,788.97 and 7,844.34 is: 10,629.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.97 : 7,844.34 = 7,844.34 : x
  2. Step 2: Convert to fraction form
    5,788.97/7,844.34 = 7,844.34/x
  3. Step 3: Cross multiply
    5,788.97x = 7,844.34 × 7,844.34
  4. Step 4: Simplify right side
    5,788.97x = 61,533,728.87
  5. Step 5: Solve for x
    x = 61,533,728.87/5,788.97
  6. Step 6: Final answer
    x = 10,629.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.