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Finding the Third Proportional to 30,805.13 and 66,210.75

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Solution

The third proportional to 30,805.13 and 66,210.75 is: 142,309.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,805.13 : 66,210.75 = 66,210.75 : x
  2. Step 2: Convert to fraction form
    30,805.13/66,210.75 = 66,210.75/x
  3. Step 3: Cross multiply
    30,805.13x = 66,210.75 × 66,210.75
  4. Step 4: Simplify right side
    30,805.13x = 4,383,863,415.56
  5. Step 5: Solve for x
    x = 4,383,863,415.56/30,805.13
  6. Step 6: Final answer
    x = 142,309.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.