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Finding the Third Proportional to 1,977.88 and 3,074.81

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Solution

The third proportional to 1,977.88 and 3,074.81 is: 4,780.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.88 : 3,074.81 = 3,074.81 : x
  2. Step 2: Convert to fraction form
    1,977.88/3,074.81 = 3,074.81/x
  3. Step 3: Cross multiply
    1,977.88x = 3,074.81 × 3,074.81
  4. Step 4: Simplify right side
    1,977.88x = 9,454,471.91
  5. Step 5: Solve for x
    x = 9,454,471.91/1,977.88
  6. Step 6: Final answer
    x = 4,780.12

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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.