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Finding the Third Proportional to 22,457 and 35,126

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Solution

The third proportional to 22,457 and 35,126 is: 54,942.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,457 : 35,126 = 35,126 : x
  2. Step 2: Convert to fraction form
    22,457/35,126 = 35,126/x
  3. Step 3: Cross multiply
    22,457x = 35,126 × 35,126
  4. Step 4: Simplify right side
    22,457x = 1,233,835,876
  5. Step 5: Solve for x
    x = 1,233,835,876/22,457
  6. Step 6: Final answer
    x = 54,942.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.