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Finding the Third Proportional to 30,082 and 65,804

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Solution

The third proportional to 30,082 and 65,804 is: 143,945.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,082 : 65,804 = 65,804 : x
  2. Step 2: Convert to fraction form
    30,082/65,804 = 65,804/x
  3. Step 3: Cross multiply
    30,082x = 65,804 × 65,804
  4. Step 4: Simplify right side
    30,082x = 4,330,166,416
  5. Step 5: Solve for x
    x = 4,330,166,416/30,082
  6. Step 6: Final answer
    x = 143,945.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.