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Finding the Third Proportional to 4,102.88 and 5,460.75

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Solution

The third proportional to 4,102.88 and 5,460.75 is: 7,268.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.88 : 5,460.75 = 5,460.75 : x
  2. Step 2: Convert to fraction form
    4,102.88/5,460.75 = 5,460.75/x
  3. Step 3: Cross multiply
    4,102.88x = 5,460.75 × 5,460.75
  4. Step 4: Simplify right side
    4,102.88x = 29,819,790.56
  5. Step 5: Solve for x
    x = 29,819,790.56/4,102.88
  6. Step 6: Final answer
    x = 7,268.02

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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.