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Finding the Third Proportional to 9,716.25 and 14,568.75

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Solution

The third proportional to 9,716.25 and 14,568.75 is: 21,844.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.25 : 14,568.75 = 14,568.75 : x
  2. Step 2: Convert to fraction form
    9,716.25/14,568.75 = 14,568.75/x
  3. Step 3: Cross multiply
    9,716.25x = 14,568.75 × 14,568.75
  4. Step 4: Simplify right side
    9,716.25x = 212,248,476.56
  5. Step 5: Solve for x
    x = 212,248,476.56/9,716.25
  6. Step 6: Final answer
    x = 21,844.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.