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Finding the Third Proportional to 19,583.44 and 28,549.97

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Solution

The third proportional to 19,583.44 and 28,549.97 is: 41,621.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,583.44 : 28,549.97 = 28,549.97 : x
  2. Step 2: Convert to fraction form
    19,583.44/28,549.97 = 28,549.97/x
  3. Step 3: Cross multiply
    19,583.44x = 28,549.97 × 28,549.97
  4. Step 4: Simplify right side
    19,583.44x = 815,100,715.63
  5. Step 5: Solve for x
    x = 815,100,715.63/19,583.44
  6. Step 6: Final answer
    x = 41,621.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.