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Finding the Third Proportional to 2,090.18 and 2,773.62

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Solution

The third proportional to 2,090.18 and 2,773.62 is: 3,680.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.18 : 2,773.62 = 2,773.62 : x
  2. Step 2: Convert to fraction form
    2,090.18/2,773.62 = 2,773.62/x
  3. Step 3: Cross multiply
    2,090.18x = 2,773.62 × 2,773.62
  4. Step 4: Simplify right side
    2,090.18x = 7,692,952.30
  5. Step 5: Solve for x
    x = 7,692,952.30/2,090.18
  6. Step 6: Final answer
    x = 3,680.52

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.