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Finding the Third Proportional to 19,509.19 and 41,448.38

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Solution

The third proportional to 19,509.19 and 41,448.38 is: 88,059.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,509.19 : 41,448.38 = 41,448.38 : x
  2. Step 2: Convert to fraction form
    19,509.19/41,448.38 = 41,448.38/x
  3. Step 3: Cross multiply
    19,509.19x = 41,448.38 × 41,448.38
  4. Step 4: Simplify right side
    19,509.19x = 1,717,967,790.14
  5. Step 5: Solve for x
    x = 1,717,967,790.14/19,509.19
  6. Step 6: Final answer
    x = 88,059.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.