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Finding the Third Proportional to 4,063.61 and 8,399.64

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Solution

The third proportional to 4,063.61 and 8,399.64 is: 17,362.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,063.61 : 8,399.64 = 8,399.64 : x
  2. Step 2: Convert to fraction form
    4,063.61/8,399.64 = 8,399.64/x
  3. Step 3: Cross multiply
    4,063.61x = 8,399.64 × 8,399.64
  4. Step 4: Simplify right side
    4,063.61x = 70,553,897.01
  5. Step 5: Solve for x
    x = 70,553,897.01/4,063.61
  6. Step 6: Final answer
    x = 17,362.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.