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Finding the Third Proportional to 41,223 and 55,998

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Solution

The third proportional to 41,223 and 55,998 is: 76,068.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,223 : 55,998 = 55,998 : x
  2. Step 2: Convert to fraction form
    41,223/55,998 = 55,998/x
  3. Step 3: Cross multiply
    41,223x = 55,998 × 55,998
  4. Step 4: Simplify right side
    41,223x = 3,135,776,004
  5. Step 5: Solve for x
    x = 3,135,776,004/41,223
  6. Step 6: Final answer
    x = 76,068.60

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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.