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Finding the Third Proportional to 22,925 and 49,702

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Solution

The third proportional to 22,925 and 49,702 is: 107,755.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,925 : 49,702 = 49,702 : x
  2. Step 2: Convert to fraction form
    22,925/49,702 = 49,702/x
  3. Step 3: Cross multiply
    22,925x = 49,702 × 49,702
  4. Step 4: Simplify right side
    22,925x = 2,470,288,804
  5. Step 5: Solve for x
    x = 2,470,288,804/22,925
  6. Step 6: Final answer
    x = 107,755.24

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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.