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Finding the Third Proportional to 19,091 and 28,673

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Solution

The third proportional to 19,091 and 28,673 is: 43,064.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,091 : 28,673 = 28,673 : x
  2. Step 2: Convert to fraction form
    19,091/28,673 = 28,673/x
  3. Step 3: Cross multiply
    19,091x = 28,673 × 28,673
  4. Step 4: Simplify right side
    19,091x = 822,140,929
  5. Step 5: Solve for x
    x = 822,140,929/19,091
  6. Step 6: Final answer
    x = 43,064.32

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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.