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Finding the Third Proportional to 3,671.34 and 7,804.00

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Solution

The third proportional to 3,671.34 and 7,804.00 is: 16,588.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.34 : 7,804.00 = 7,804.00 : x
  2. Step 2: Convert to fraction form
    3,671.34/7,804.00 = 7,804.00/x
  3. Step 3: Cross multiply
    3,671.34x = 7,804.00 × 7,804.00
  4. Step 4: Simplify right side
    3,671.34x = 60,902,446.48
  5. Step 5: Solve for x
    x = 60,902,446.48/3,671.34
  6. Step 6: Final answer
    x = 16,588.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.