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Finding the Third Proportional to 19,256 and 28,807

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Solution

The third proportional to 19,256 and 28,807 is: 43,095.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,256 : 28,807 = 28,807 : x
  2. Step 2: Convert to fraction form
    19,256/28,807 = 28,807/x
  3. Step 3: Cross multiply
    19,256x = 28,807 × 28,807
  4. Step 4: Simplify right side
    19,256x = 829,843,249
  5. Step 5: Solve for x
    x = 829,843,249/19,256
  6. Step 6: Final answer
    x = 43,095.31

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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.