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Finding the Third Proportional to 9,497.25 and 21,993.75

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Solution

The third proportional to 9,497.25 and 21,993.75 is: 50,933.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.25 : 21,993.75 = 21,993.75 : x
  2. Step 2: Convert to fraction form
    9,497.25/21,993.75 = 21,993.75/x
  3. Step 3: Cross multiply
    9,497.25x = 21,993.75 × 21,993.75
  4. Step 4: Simplify right side
    9,497.25x = 483,725,039.06
  5. Step 5: Solve for x
    x = 483,725,039.06/9,497.25
  6. Step 6: Final answer
    x = 50,933.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.