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Finding the Third Proportional to 4,548.45 and 6,794.58

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Solution

The third proportional to 4,548.45 and 6,794.58 is: 10,149.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.45 : 6,794.58 = 6,794.58 : x
  2. Step 2: Convert to fraction form
    4,548.45/6,794.58 = 6,794.58/x
  3. Step 3: Cross multiply
    4,548.45x = 6,794.58 × 6,794.58
  4. Step 4: Simplify right side
    4,548.45x = 46,166,291.90
  5. Step 5: Solve for x
    x = 46,166,291.90/4,548.45
  6. Step 6: Final answer
    x = 10,149.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.