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Finding the Third Proportional to 4,090.88 and 6,129.56

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Solution

The third proportional to 4,090.88 and 6,129.56 is: 9,184.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,090.88 : 6,129.56 = 6,129.56 : x
  2. Step 2: Convert to fraction form
    4,090.88/6,129.56 = 6,129.56/x
  3. Step 3: Cross multiply
    4,090.88x = 6,129.56 × 6,129.56
  4. Step 4: Simplify right side
    4,090.88x = 37,571,536.44
  5. Step 5: Solve for x
    x = 37,571,536.44/4,090.88
  6. Step 6: Final answer
    x = 9,184.23

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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.