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Finding the Third Proportional to 4,091 and 4,685

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Solution

The third proportional to 4,091 and 4,685 is: 5,365.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,091 : 4,685 = 4,685 : x
  2. Step 2: Convert to fraction form
    4,091/4,685 = 4,685/x
  3. Step 3: Cross multiply
    4,091x = 4,685 × 4,685
  4. Step 4: Simplify right side
    4,091x = 21,949,225
  5. Step 5: Solve for x
    x = 21,949,225/4,091
  6. Step 6: Final answer
    x = 5,365.25

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.