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Finding the Third Proportional to 4,185.66 and 5,684.63

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Solution

The third proportional to 4,185.66 and 5,684.63 is: 7,720.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.66 : 5,684.63 = 5,684.63 : x
  2. Step 2: Convert to fraction form
    4,185.66/5,684.63 = 5,684.63/x
  3. Step 3: Cross multiply
    4,185.66x = 5,684.63 × 5,684.63
  4. Step 4: Simplify right side
    4,185.66x = 32,314,961.39
  5. Step 5: Solve for x
    x = 32,314,961.39/4,185.66
  6. Step 6: Final answer
    x = 7,720.40

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.