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Finding the Third Proportional to 19,138 and 28,077

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Solution

The third proportional to 19,138 and 28,077 is: 41,191.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,138 : 28,077 = 28,077 : x
  2. Step 2: Convert to fraction form
    19,138/28,077 = 28,077/x
  3. Step 3: Cross multiply
    19,138x = 28,077 × 28,077
  4. Step 4: Simplify right side
    19,138x = 788,317,929
  5. Step 5: Solve for x
    x = 788,317,929/19,138
  6. Step 6: Final answer
    x = 41,191.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.