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Finding the Third Proportional to 36,562 and 75,998

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Solution

The third proportional to 36,562 and 75,998 is: 157,969.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,562 : 75,998 = 75,998 : x
  2. Step 2: Convert to fraction form
    36,562/75,998 = 75,998/x
  3. Step 3: Cross multiply
    36,562x = 75,998 × 75,998
  4. Step 4: Simplify right side
    36,562x = 5,775,696,004
  5. Step 5: Solve for x
    x = 5,775,696,004/36,562
  6. Step 6: Final answer
    x = 157,969.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.