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Finding the Third Proportional to 5,257.41 and 7,892.44

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Solution

The third proportional to 5,257.41 and 7,892.44 is: 11,848.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.41 : 7,892.44 = 7,892.44 : x
  2. Step 2: Convert to fraction form
    5,257.41/7,892.44 = 7,892.44/x
  3. Step 3: Cross multiply
    5,257.41x = 7,892.44 × 7,892.44
  4. Step 4: Simplify right side
    5,257.41x = 62,290,569.69
  5. Step 5: Solve for x
    x = 62,290,569.69/5,257.41
  6. Step 6: Final answer
    x = 11,848.16

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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.