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Finding the Third Proportional to 994.92 and 2,071.55

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Solution

The third proportional to 994.92 and 2,071.55 is: 4,313.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.92 : 2,071.55 = 2,071.55 : x
  2. Step 2: Convert to fraction form
    994.92/2,071.55 = 2,071.55/x
  3. Step 3: Cross multiply
    994.92x = 2,071.55 × 2,071.55
  4. Step 4: Simplify right side
    994.92x = 4,291,306.46
  5. Step 5: Solve for x
    x = 4,291,306.46/994.92
  6. Step 6: Final answer
    x = 4,313.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.