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Finding the Third Proportional to 22,224 and 49,672.50

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Solution

The third proportional to 22,224 and 49,672.50 is: 111,022.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,224 : 49,672.50 = 49,672.50 : x
  2. Step 2: Convert to fraction form
    22,224/49,672.50 = 49,672.50/x
  3. Step 3: Cross multiply
    22,224x = 49,672.50 × 49,672.50
  4. Step 4: Simplify right side
    22,224x = 2,467,357,256.25
  5. Step 5: Solve for x
    x = 2,467,357,256.25/22,224
  6. Step 6: Final answer
    x = 111,022.19

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.