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Finding the Third Proportional to 19,137.75 and 40,592.25

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Solution

The third proportional to 19,137.75 and 40,592.25 is: 86,098.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,137.75 : 40,592.25 = 40,592.25 : x
  2. Step 2: Convert to fraction form
    19,137.75/40,592.25 = 40,592.25/x
  3. Step 3: Cross multiply
    19,137.75x = 40,592.25 × 40,592.25
  4. Step 4: Simplify right side
    19,137.75x = 1,647,730,760.06
  5. Step 5: Solve for x
    x = 1,647,730,760.06/19,137.75
  6. Step 6: Final answer
    x = 86,098.46

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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.