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Finding the Third Proportional to 4,548.66 and 6,645.80

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Solution

The third proportional to 4,548.66 and 6,645.80 is: 9,709.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.66 : 6,645.80 = 6,645.80 : x
  2. Step 2: Convert to fraction form
    4,548.66/6,645.80 = 6,645.80/x
  3. Step 3: Cross multiply
    4,548.66x = 6,645.80 × 6,645.80
  4. Step 4: Simplify right side
    4,548.66x = 44,166,616.10
  5. Step 5: Solve for x
    x = 44,166,616.10/4,548.66
  6. Step 6: Final answer
    x = 9,709.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.