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Finding the Third Proportional to 5,255.35 and 7,905.09

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Solution

The third proportional to 5,255.35 and 7,905.09 is: 11,890.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,255.35 : 7,905.09 = 7,905.09 : x
  2. Step 2: Convert to fraction form
    5,255.35/7,905.09 = 7,905.09/x
  3. Step 3: Cross multiply
    5,255.35x = 7,905.09 × 7,905.09
  4. Step 4: Simplify right side
    5,255.35x = 62,490,507.20
  5. Step 5: Solve for x
    x = 62,490,507.20/5,255.35
  6. Step 6: Final answer
    x = 11,890.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.