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Finding the Third Proportional to 4,218.94 and 6,549.47

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Solution

The third proportional to 4,218.94 and 6,549.47 is: 10,167.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218.94 : 6,549.47 = 6,549.47 : x
  2. Step 2: Convert to fraction form
    4,218.94/6,549.47 = 6,549.47/x
  3. Step 3: Cross multiply
    4,218.94x = 6,549.47 × 6,549.47
  4. Step 4: Simplify right side
    4,218.94x = 42,895,540.91
  5. Step 5: Solve for x
    x = 42,895,540.91/4,218.94
  6. Step 6: Final answer
    x = 10,167.38

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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.