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Finding the Third Proportional to 2,090.18 and 2,787.86

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Solution

The third proportional to 2,090.18 and 2,787.86 is: 3,718.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.18 : 2,787.86 = 2,787.86 : x
  2. Step 2: Convert to fraction form
    2,090.18/2,787.86 = 2,787.86/x
  3. Step 3: Cross multiply
    2,090.18x = 2,787.86 × 2,787.86
  4. Step 4: Simplify right side
    2,090.18x = 7,772,138.11
  5. Step 5: Solve for x
    x = 7,772,138.11/2,090.18
  6. Step 6: Final answer
    x = 3,718.41

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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.