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Finding the Third Proportional to 30,653.44 and 66,144.38

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Solution

The third proportional to 30,653.44 and 66,144.38 is: 142,727.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,653.44 : 66,144.38 = 66,144.38 : x
  2. Step 2: Convert to fraction form
    30,653.44/66,144.38 = 66,144.38/x
  3. Step 3: Cross multiply
    30,653.44x = 66,144.38 × 66,144.38
  4. Step 4: Simplify right side
    30,653.44x = 4,375,078,344.14
  5. Step 5: Solve for x
    x = 4,375,078,344.14/30,653.44
  6. Step 6: Final answer
    x = 142,727.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.