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Finding the Third Proportional to 22,014 and 33,125.25

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Solution

The third proportional to 22,014 and 33,125.25 is: 49,844.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,014 : 33,125.25 = 33,125.25 : x
  2. Step 2: Convert to fraction form
    22,014/33,125.25 = 33,125.25/x
  3. Step 3: Cross multiply
    22,014x = 33,125.25 × 33,125.25
  4. Step 4: Simplify right side
    22,014x = 1,097,282,187.56
  5. Step 5: Solve for x
    x = 1,097,282,187.56/22,014
  6. Step 6: Final answer
    x = 49,844.74

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1.5x scale

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.