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Finding the Third Proportional to 3,542.91 and 7,636.78

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Solution

The third proportional to 3,542.91 and 7,636.78 is: 16,461.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.91 : 7,636.78 = 7,636.78 : x
  2. Step 2: Convert to fraction form
    3,542.91/7,636.78 = 7,636.78/x
  3. Step 3: Cross multiply
    3,542.91x = 7,636.78 × 7,636.78
  4. Step 4: Simplify right side
    3,542.91x = 58,320,427.86
  5. Step 5: Solve for x
    x = 58,320,427.86/3,542.91
  6. Step 6: Final answer
    x = 16,461.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.