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Finding the Third Proportional to 2,038.50 and 3,267.84

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Solution

The third proportional to 2,038.50 and 3,267.84 is: 5,238.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.50 : 3,267.84 = 3,267.84 : x
  2. Step 2: Convert to fraction form
    2,038.50/3,267.84 = 3,267.84/x
  3. Step 3: Cross multiply
    2,038.50x = 3,267.84 × 3,267.84
  4. Step 4: Simplify right side
    2,038.50x = 10,678,802.77
  5. Step 5: Solve for x
    x = 10,678,802.77/2,038.50
  6. Step 6: Final answer
    x = 5,238.56

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.