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Finding the Third Proportional to 19,075.50 and 37,634.63

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Solution

The third proportional to 19,075.50 and 37,634.63 is: 74,250.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,075.50 : 37,634.63 = 37,634.63 : x
  2. Step 2: Convert to fraction form
    19,075.50/37,634.63 = 37,634.63/x
  3. Step 3: Cross multiply
    19,075.50x = 37,634.63 × 37,634.63
  4. Step 4: Simplify right side
    19,075.50x = 1,416,364,998.89
  5. Step 5: Solve for x
    x = 1,416,364,998.89/19,075.50
  6. Step 6: Final answer
    x = 74,250.48

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.