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Finding the Third Proportional to 1,013.81 and 2,103.56

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Solution

The third proportional to 1,013.81 and 2,103.56 is: 4,364.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.81 : 2,103.56 = 2,103.56 : x
  2. Step 2: Convert to fraction form
    1,013.81/2,103.56 = 2,103.56/x
  3. Step 3: Cross multiply
    1,013.81x = 2,103.56 × 2,103.56
  4. Step 4: Simplify right side
    1,013.81x = 4,424,975.19
  5. Step 5: Solve for x
    x = 4,424,975.19/1,013.81
  6. Step 6: Final answer
    x = 4,364.69

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.