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Finding the Third Proportional to 41,148 and 55,762

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Solution

The third proportional to 41,148 and 55,762 is: 75,566.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,148 : 55,762 = 55,762 : x
  2. Step 2: Convert to fraction form
    41,148/55,762 = 55,762/x
  3. Step 3: Cross multiply
    41,148x = 55,762 × 55,762
  4. Step 4: Simplify right side
    41,148x = 3,109,400,644
  5. Step 5: Solve for x
    x = 3,109,400,644/41,148
  6. Step 6: Final answer
    x = 75,566.26

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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.