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Finding the Third Proportional to 30,836.25 and 66,350.13

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Solution

The third proportional to 30,836.25 and 66,350.13 is: 142,765.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,836.25 : 66,350.13 = 66,350.13 : x
  2. Step 2: Convert to fraction form
    30,836.25/66,350.13 = 66,350.13/x
  3. Step 3: Cross multiply
    30,836.25x = 66,350.13 × 66,350.13
  4. Step 4: Simplify right side
    30,836.25x = 4,402,339,087.52
  5. Step 5: Solve for x
    x = 4,402,339,087.52/30,836.25
  6. Step 6: Final answer
    x = 142,765.06

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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.