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Finding the Third Proportional to 4,450.78 and 6,607.55

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Solution

The third proportional to 4,450.78 and 6,607.55 is: 9,809.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,450.78 : 6,607.55 = 6,607.55 : x
  2. Step 2: Convert to fraction form
    4,450.78/6,607.55 = 6,607.55/x
  3. Step 3: Cross multiply
    4,450.78x = 6,607.55 × 6,607.55
  4. Step 4: Simplify right side
    4,450.78x = 43,659,675.71
  5. Step 5: Solve for x
    x = 43,659,675.71/4,450.78
  6. Step 6: Final answer
    x = 9,809.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.