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Finding the Third Proportional to 5,646.94 and 8,388.66

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Solution

The third proportional to 5,646.94 and 8,388.66 is: 12,461.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.94 : 8,388.66 = 8,388.66 : x
  2. Step 2: Convert to fraction form
    5,646.94/8,388.66 = 8,388.66/x
  3. Step 3: Cross multiply
    5,646.94x = 8,388.66 × 8,388.66
  4. Step 4: Simplify right side
    5,646.94x = 70,369,553.68
  5. Step 5: Solve for x
    x = 70,369,553.68/5,646.94
  6. Step 6: Final answer
    x = 12,461.54

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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.