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Finding the Third Proportional to 28,296 and 43,060

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Solution

The third proportional to 28,296 and 43,060 is: 65,527.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,296 : 43,060 = 43,060 : x
  2. Step 2: Convert to fraction form
    28,296/43,060 = 43,060/x
  3. Step 3: Cross multiply
    28,296x = 43,060 × 43,060
  4. Step 4: Simplify right side
    28,296x = 1,854,163,600
  5. Step 5: Solve for x
    x = 1,854,163,600/28,296
  6. Step 6: Final answer
    x = 65,527.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.