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Finding the Third Proportional to 2,127.09 and 3,193.59

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Solution

The third proportional to 2,127.09 and 3,193.59 is: 4,794.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.09 : 3,193.59 = 3,193.59 : x
  2. Step 2: Convert to fraction form
    2,127.09/3,193.59 = 3,193.59/x
  3. Step 3: Cross multiply
    2,127.09x = 3,193.59 × 3,193.59
  4. Step 4: Simplify right side
    2,127.09x = 10,199,041.04
  5. Step 5: Solve for x
    x = 10,199,041.04/2,127.09
  6. Step 6: Final answer
    x = 4,794.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.