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Finding the Third Proportional to 29,562 and 68,366.63

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Solution

The third proportional to 29,562 and 68,366.63 is: 158,108.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,562 : 68,366.63 = 68,366.63 : x
  2. Step 2: Convert to fraction form
    29,562/68,366.63 = 68,366.63/x
  3. Step 3: Cross multiply
    29,562x = 68,366.63 × 68,366.63
  4. Step 4: Simplify right side
    29,562x = 4,673,995,413.89
  5. Step 5: Solve for x
    x = 4,673,995,413.89/29,562
  6. Step 6: Final answer
    x = 158,108.23

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.