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Finding the Third Proportional to 977.44 and 1,994.81

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Solution

The third proportional to 977.44 and 1,994.81 is: 4,071.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.44 : 1,994.81 = 1,994.81 : x
  2. Step 2: Convert to fraction form
    977.44/1,994.81 = 1,994.81/x
  3. Step 3: Cross multiply
    977.44x = 1,994.81 × 1,994.81
  4. Step 4: Simplify right side
    977.44x = 3,979,276.91
  5. Step 5: Solve for x
    x = 3,979,276.91/977.44
  6. Step 6: Final answer
    x = 4,071.13

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.