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Finding the Third Proportional to 12,237.75 and 19,448.44

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Solution

The third proportional to 12,237.75 and 19,448.44 is: 30,907.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,237.75 : 19,448.44 = 19,448.44 : x
  2. Step 2: Convert to fraction form
    12,237.75/19,448.44 = 19,448.44/x
  3. Step 3: Cross multiply
    12,237.75x = 19,448.44 × 19,448.44
  4. Step 4: Simplify right side
    12,237.75x = 378,241,721.19
  5. Step 5: Solve for x
    x = 378,241,721.19/12,237.75
  6. Step 6: Final answer
    x = 30,907.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.