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Finding the Third Proportional to 45,296 and 65,244

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Solution

The third proportional to 45,296 and 65,244 is: 93,976.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,296 : 65,244 = 65,244 : x
  2. Step 2: Convert to fraction form
    45,296/65,244 = 65,244/x
  3. Step 3: Cross multiply
    45,296x = 65,244 × 65,244
  4. Step 4: Simplify right side
    45,296x = 4,256,779,536
  5. Step 5: Solve for x
    x = 4,256,779,536/45,296
  6. Step 6: Final answer
    x = 93,976.94

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.