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Finding the Third Proportional to 2,117.81 and 3,203.72

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Solution

The third proportional to 2,117.81 and 3,203.72 is: 4,846.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.81 : 3,203.72 = 3,203.72 : x
  2. Step 2: Convert to fraction form
    2,117.81/3,203.72 = 3,203.72/x
  3. Step 3: Cross multiply
    2,117.81x = 3,203.72 × 3,203.72
  4. Step 4: Simplify right side
    2,117.81x = 10,263,813.83
  5. Step 5: Solve for x
    x = 10,263,813.83/2,117.81
  6. Step 6: Final answer
    x = 4,846.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.