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Finding the Third Proportional to 19,101.75 and 42,011.25

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Solution

The third proportional to 19,101.75 and 42,011.25 is: 92,397.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,101.75 : 42,011.25 = 42,011.25 : x
  2. Step 2: Convert to fraction form
    19,101.75/42,011.25 = 42,011.25/x
  3. Step 3: Cross multiply
    19,101.75x = 42,011.25 × 42,011.25
  4. Step 4: Simplify right side
    19,101.75x = 1,764,945,126.56
  5. Step 5: Solve for x
    x = 1,764,945,126.56/19,101.75
  6. Step 6: Final answer
    x = 92,397.04

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.