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Finding the Third Proportional to 22,362 and 35,951

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Solution

The third proportional to 22,362 and 35,951 is: 57,797.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,362 : 35,951 = 35,951 : x
  2. Step 2: Convert to fraction form
    22,362/35,951 = 35,951/x
  3. Step 3: Cross multiply
    22,362x = 35,951 × 35,951
  4. Step 4: Simplify right side
    22,362x = 1,292,474,401
  5. Step 5: Solve for x
    x = 1,292,474,401/22,362
  6. Step 6: Final answer
    x = 57,797.80

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.