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Finding the Third Proportional to 1,305.75 and 3,019.88

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Solution

The third proportional to 1,305.75 and 3,019.88 is: 6,984.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.75 : 3,019.88 = 3,019.88 : x
  2. Step 2: Convert to fraction form
    1,305.75/3,019.88 = 3,019.88/x
  3. Step 3: Cross multiply
    1,305.75x = 3,019.88 × 3,019.88
  4. Step 4: Simplify right side
    1,305.75x = 9,119,645.02
  5. Step 5: Solve for x
    x = 9,119,645.02/1,305.75
  6. Step 6: Final answer
    x = 6,984.22

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.