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Finding the Third Proportional to 22,845 and 49,570

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Solution

The third proportional to 22,845 and 49,570 is: 107,558.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,845 : 49,570 = 49,570 : x
  2. Step 2: Convert to fraction form
    22,845/49,570 = 49,570/x
  3. Step 3: Cross multiply
    22,845x = 49,570 × 49,570
  4. Step 4: Simplify right side
    22,845x = 2,457,184,900
  5. Step 5: Solve for x
    x = 2,457,184,900/22,845
  6. Step 6: Final answer
    x = 107,558.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.