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Finding the Third Proportional to 3,506.41 and 7,627.92

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Solution

The third proportional to 3,506.41 and 7,627.92 is: 16,593.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.41 : 7,627.92 = 7,627.92 : x
  2. Step 2: Convert to fraction form
    3,506.41/7,627.92 = 7,627.92/x
  3. Step 3: Cross multiply
    3,506.41x = 7,627.92 × 7,627.92
  4. Step 4: Simplify right side
    3,506.41x = 58,185,192.13
  5. Step 5: Solve for x
    x = 58,185,192.13/3,506.41
  6. Step 6: Final answer
    x = 16,593.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.