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Finding the Third Proportional to 30,808 and 65,296

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Solution

The third proportional to 30,808 and 65,296 is: 138,391.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,808 : 65,296 = 65,296 : x
  2. Step 2: Convert to fraction form
    30,808/65,296 = 65,296/x
  3. Step 3: Cross multiply
    30,808x = 65,296 × 65,296
  4. Step 4: Simplify right side
    30,808x = 4,263,567,616
  5. Step 5: Solve for x
    x = 4,263,567,616/30,808
  6. Step 6: Final answer
    x = 138,391.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.