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Finding the Third Proportional to 19,075.50 and 42,025.50

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Solution

The third proportional to 19,075.50 and 42,025.50 is: 92,586.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,075.50 : 42,025.50 = 42,025.50 : x
  2. Step 2: Convert to fraction form
    19,075.50/42,025.50 = 42,025.50/x
  3. Step 3: Cross multiply
    19,075.50x = 42,025.50 × 42,025.50
  4. Step 4: Simplify right side
    19,075.50x = 1,766,142,650.25
  5. Step 5: Solve for x
    x = 1,766,142,650.25/19,075.50
  6. Step 6: Final answer
    x = 92,586.96

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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.