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Finding the Third Proportional to 2,303.72 and 4,936.22

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Solution

The third proportional to 2,303.72 and 4,936.22 is: 10,576.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.72 : 4,936.22 = 4,936.22 : x
  2. Step 2: Convert to fraction form
    2,303.72/4,936.22 = 4,936.22/x
  3. Step 3: Cross multiply
    2,303.72x = 4,936.22 × 4,936.22
  4. Step 4: Simplify right side
    2,303.72x = 24,366,255.55
  5. Step 5: Solve for x
    x = 24,366,255.55/2,303.72
  6. Step 6: Final answer
    x = 10,576.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.