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Finding the Third Proportional to 993.38 and 2,147.63

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Solution

The third proportional to 993.38 and 2,147.63 is: 4,643.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.38 : 2,147.63 = 2,147.63 : x
  2. Step 2: Convert to fraction form
    993.38/2,147.63 = 2,147.63/x
  3. Step 3: Cross multiply
    993.38x = 2,147.63 × 2,147.63
  4. Step 4: Simplify right side
    993.38x = 4,612,293.14
  5. Step 5: Solve for x
    x = 4,612,293.14/993.38
  6. Step 6: Final answer
    x = 4,643.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.