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Finding the Third Proportional to 1,982.81 and 3,051.84

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Solution

The third proportional to 1,982.81 and 3,051.84 is: 4,697.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.81 : 3,051.84 = 3,051.84 : x
  2. Step 2: Convert to fraction form
    1,982.81/3,051.84 = 3,051.84/x
  3. Step 3: Cross multiply
    1,982.81x = 3,051.84 × 3,051.84
  4. Step 4: Simplify right side
    1,982.81x = 9,313,750.27
  5. Step 5: Solve for x
    x = 9,313,750.27/1,982.81
  6. Step 6: Final answer
    x = 4,697.24

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Why These Related Problems?

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