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Finding the Third Proportional to 2,090.25 and 3,134.63

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Solution

The third proportional to 2,090.25 and 3,134.63 is: 4,700.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.25 : 3,134.63 = 3,134.63 : x
  2. Step 2: Convert to fraction form
    2,090.25/3,134.63 = 3,134.63/x
  3. Step 3: Cross multiply
    2,090.25x = 3,134.63 × 3,134.63
  4. Step 4: Simplify right side
    2,090.25x = 9,825,873.89
  5. Step 5: Solve for x
    x = 9,825,873.89/2,090.25
  6. Step 6: Final answer
    x = 4,700.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.