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Finding the Third Proportional to 2,023.73 and 3,107.74

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Solution

The third proportional to 2,023.73 and 3,107.74 is: 4,772.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.73 : 3,107.74 = 3,107.74 : x
  2. Step 2: Convert to fraction form
    2,023.73/3,107.74 = 3,107.74/x
  3. Step 3: Cross multiply
    2,023.73x = 3,107.74 × 3,107.74
  4. Step 4: Simplify right side
    2,023.73x = 9,658,061.50
  5. Step 5: Solve for x
    x = 9,658,061.50/2,023.73
  6. Step 6: Final answer
    x = 4,772.40

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.