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Finding the Third Proportional to 30,350.25 and 66,723.75

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Solution

The third proportional to 30,350.25 and 66,723.75 is: 146,689.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,350.25 : 66,723.75 = 66,723.75 : x
  2. Step 2: Convert to fraction form
    30,350.25/66,723.75 = 66,723.75/x
  3. Step 3: Cross multiply
    30,350.25x = 66,723.75 × 66,723.75
  4. Step 4: Simplify right side
    30,350.25x = 4,452,058,814.06
  5. Step 5: Solve for x
    x = 4,452,058,814.06/30,350.25
  6. Step 6: Final answer
    x = 146,689.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.