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Finding the Third Proportional to 1,415.31 and 3,087.75

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Solution

The third proportional to 1,415.31 and 3,087.75 is: 6,736.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.31 : 3,087.75 = 3,087.75 : x
  2. Step 2: Convert to fraction form
    1,415.31/3,087.75 = 3,087.75/x
  3. Step 3: Cross multiply
    1,415.31x = 3,087.75 × 3,087.75
  4. Step 4: Simplify right side
    1,415.31x = 9,534,200.06
  5. Step 5: Solve for x
    x = 9,534,200.06/1,415.31
  6. Step 6: Final answer
    x = 6,736.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.