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Finding the Third Proportional to 942.47 and 2,072.91

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Solution

The third proportional to 942.47 and 2,072.91 is: 4,559.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.47 : 2,072.91 = 2,072.91 : x
  2. Step 2: Convert to fraction form
    942.47/2,072.91 = 2,072.91/x
  3. Step 3: Cross multiply
    942.47x = 2,072.91 × 2,072.91
  4. Step 4: Simplify right side
    942.47x = 4,296,940.32
  5. Step 5: Solve for x
    x = 4,296,940.32/942.47
  6. Step 6: Final answer
    x = 4,559.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.