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Finding the Third Proportional to 5,265.56 and 11,698.31

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Solution

The third proportional to 5,265.56 and 11,698.31 is: 25,989.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.56 : 11,698.31 = 11,698.31 : x
  2. Step 2: Convert to fraction form
    5,265.56/11,698.31 = 11,698.31/x
  3. Step 3: Cross multiply
    5,265.56x = 11,698.31 × 11,698.31
  4. Step 4: Simplify right side
    5,265.56x = 136,850,515.35
  5. Step 5: Solve for x
    x = 136,850,515.35/5,265.56
  6. Step 6: Final answer
    x = 25,989.72

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.