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Finding the Third Proportional to 2,091 and 3,239.63

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Solution

The third proportional to 2,091 and 3,239.63 is: 5,019.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091 : 3,239.63 = 3,239.63 : x
  2. Step 2: Convert to fraction form
    2,091/3,239.63 = 3,239.63/x
  3. Step 3: Cross multiply
    2,091x = 3,239.63 × 3,239.63
  4. Step 4: Simplify right side
    2,091x = 10,495,170.14
  5. Step 5: Solve for x
    x = 10,495,170.14/2,091
  6. Step 6: Final answer
    x = 5,019.21

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.