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Finding the Third Proportional to 19,256 and 28,805

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Solution

The third proportional to 19,256 and 28,805 is: 43,089.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,256 : 28,805 = 28,805 : x
  2. Step 2: Convert to fraction form
    19,256/28,805 = 28,805/x
  3. Step 3: Cross multiply
    19,256x = 28,805 × 28,805
  4. Step 4: Simplify right side
    19,256x = 829,728,025
  5. Step 5: Solve for x
    x = 829,728,025/19,256
  6. Step 6: Final answer
    x = 43,089.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.