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Finding the Third Proportional to 19,041.75 and 38,893.50

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Solution

The third proportional to 19,041.75 and 38,893.50 is: 79,441.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,041.75 : 38,893.50 = 38,893.50 : x
  2. Step 2: Convert to fraction form
    19,041.75/38,893.50 = 38,893.50/x
  3. Step 3: Cross multiply
    19,041.75x = 38,893.50 × 38,893.50
  4. Step 4: Simplify right side
    19,041.75x = 1,512,704,342.25
  5. Step 5: Solve for x
    x = 1,512,704,342.25/19,041.75
  6. Step 6: Final answer
    x = 79,441.46

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.