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Finding the Third Proportional to 30,321.75 and 65,943.75

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Solution

The third proportional to 30,321.75 and 65,943.75 is: 143,414.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,321.75 : 65,943.75 = 65,943.75 : x
  2. Step 2: Convert to fraction form
    30,321.75/65,943.75 = 65,943.75/x
  3. Step 3: Cross multiply
    30,321.75x = 65,943.75 × 65,943.75
  4. Step 4: Simplify right side
    30,321.75x = 4,348,578,164.06
  5. Step 5: Solve for x
    x = 4,348,578,164.06/30,321.75
  6. Step 6: Final answer
    x = 143,414.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.