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Finding the Third Proportional to 22,199.50 and 47,224

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Solution

The third proportional to 22,199.50 and 47,224 is: 100,457.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,199.50 : 47,224 = 47,224 : x
  2. Step 2: Convert to fraction form
    22,199.50/47,224 = 47,224/x
  3. Step 3: Cross multiply
    22,199.50x = 47,224 × 47,224
  4. Step 4: Simplify right side
    22,199.50x = 2,230,106,176
  5. Step 5: Solve for x
    x = 2,230,106,176/22,199.50
  6. Step 6: Final answer
    x = 100,457.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.