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Finding the Third Proportional to 994.15 and 2,070.40

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Solution

The third proportional to 994.15 and 2,070.40 is: 4,311.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.15 : 2,070.40 = 2,070.40 : x
  2. Step 2: Convert to fraction form
    994.15/2,070.40 = 2,070.40/x
  3. Step 3: Cross multiply
    994.15x = 2,070.40 × 2,070.40
  4. Step 4: Simplify right side
    994.15x = 4,286,573.95
  5. Step 5: Solve for x
    x = 4,286,573.95/994.15
  6. Step 6: Final answer
    x = 4,311.80

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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.