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Finding the Third Proportional to 41,201 and 55,968

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Solution

The third proportional to 41,201 and 55,968 is: 76,027.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,201 : 55,968 = 55,968 : x
  2. Step 2: Convert to fraction form
    41,201/55,968 = 55,968/x
  3. Step 3: Cross multiply
    41,201x = 55,968 × 55,968
  4. Step 4: Simplify right side
    41,201x = 3,132,417,024
  5. Step 5: Solve for x
    x = 3,132,417,024/41,201
  6. Step 6: Final answer
    x = 76,027.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.