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Finding the Third Proportional to 30,017.25 and 65,568.38

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Solution

The third proportional to 30,017.25 and 65,568.38 is: 143,224.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,017.25 : 65,568.38 = 65,568.38 : x
  2. Step 2: Convert to fraction form
    30,017.25/65,568.38 = 65,568.38/x
  3. Step 3: Cross multiply
    30,017.25x = 65,568.38 × 65,568.38
  4. Step 4: Simplify right side
    30,017.25x = 4,299,211,800.14
  5. Step 5: Solve for x
    x = 4,299,211,800.14/30,017.25
  6. Step 6: Final answer
    x = 143,224.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.