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Finding the Third Proportional to 4,257.77 and 6,645.27

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Solution

The third proportional to 4,257.77 and 6,645.27 is: 10,371.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.77 : 6,645.27 = 6,645.27 : x
  2. Step 2: Convert to fraction form
    4,257.77/6,645.27 = 6,645.27/x
  3. Step 3: Cross multiply
    4,257.77x = 6,645.27 × 6,645.27
  4. Step 4: Simplify right side
    4,257.77x = 44,159,607.14
  5. Step 5: Solve for x
    x = 44,159,607.14/4,257.77
  6. Step 6: Final answer
    x = 10,371.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.