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Finding the Third Proportional to 4,788.56 and 7,433.44

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Solution

The third proportional to 4,788.56 and 7,433.44 is: 11,539.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,788.56 : 7,433.44 = 7,433.44 : x
  2. Step 2: Convert to fraction form
    4,788.56/7,433.44 = 7,433.44/x
  3. Step 3: Cross multiply
    4,788.56x = 7,433.44 × 7,433.44
  4. Step 4: Simplify right side
    4,788.56x = 55,255,993.07
  5. Step 5: Solve for x
    x = 55,255,993.07/4,788.56
  6. Step 6: Final answer
    x = 11,539.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.