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Finding the Third Proportional to 2,051.63 and 3,182.44

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Solution

The third proportional to 2,051.63 and 3,182.44 is: 4,936.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.63 : 3,182.44 = 3,182.44 : x
  2. Step 2: Convert to fraction form
    2,051.63/3,182.44 = 3,182.44/x
  3. Step 3: Cross multiply
    2,051.63x = 3,182.44 × 3,182.44
  4. Step 4: Simplify right side
    2,051.63x = 10,127,908.44
  5. Step 5: Solve for x
    x = 10,127,908.44/2,051.63
  6. Step 6: Final answer
    x = 4,936.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.