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Finding the Third Proportional to 19,428.19 and 40,238.44

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Solution

The third proportional to 19,428.19 and 40,238.44 is: 83,339.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,428.19 : 40,238.44 = 40,238.44 : x
  2. Step 2: Convert to fraction form
    19,428.19/40,238.44 = 40,238.44/x
  3. Step 3: Cross multiply
    19,428.19x = 40,238.44 × 40,238.44
  4. Step 4: Simplify right side
    19,428.19x = 1,619,131,852.44
  5. Step 5: Solve for x
    x = 1,619,131,852.44/19,428.19
  6. Step 6: Final answer
    x = 83,339.32

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.