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Finding the Third Proportional to 29,621.50 and 65,804

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Solution

The third proportional to 29,621.50 and 65,804 is: 146,183.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,621.50 : 65,804 = 65,804 : x
  2. Step 2: Convert to fraction form
    29,621.50/65,804 = 65,804/x
  3. Step 3: Cross multiply
    29,621.50x = 65,804 × 65,804
  4. Step 4: Simplify right side
    29,621.50x = 4,330,166,416
  5. Step 5: Solve for x
    x = 4,330,166,416/29,621.50
  6. Step 6: Final answer
    x = 146,183.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.