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Finding the Third Proportional to 2,056.50 and 3,039.19

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Solution

The third proportional to 2,056.50 and 3,039.19 is: 4,491.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.50 : 3,039.19 = 3,039.19 : x
  2. Step 2: Convert to fraction form
    2,056.50/3,039.19 = 3,039.19/x
  3. Step 3: Cross multiply
    2,056.50x = 3,039.19 × 3,039.19
  4. Step 4: Simplify right side
    2,056.50x = 9,236,660.66
  5. Step 5: Solve for x
    x = 9,236,660.66/2,056.50
  6. Step 6: Final answer
    x = 4,491.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.