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Finding the Third Proportional to 19,119 and 28,696.50

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Solution

The third proportional to 19,119 and 28,696.50 is: 43,071.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,119 : 28,696.50 = 28,696.50 : x
  2. Step 2: Convert to fraction form
    19,119/28,696.50 = 28,696.50/x
  3. Step 3: Cross multiply
    19,119x = 28,696.50 × 28,696.50
  4. Step 4: Simplify right side
    19,119x = 823,489,112.25
  5. Step 5: Solve for x
    x = 823,489,112.25/19,119
  6. Step 6: Final answer
    x = 43,071.77

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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.