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Finding the Third Proportional to 19,075.50 and 44,195.63

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Solution

The third proportional to 19,075.50 and 44,195.63 is: 102,395.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,075.50 : 44,195.63 = 44,195.63 : x
  2. Step 2: Convert to fraction form
    19,075.50/44,195.63 = 44,195.63/x
  3. Step 3: Cross multiply
    19,075.50x = 44,195.63 × 44,195.63
  4. Step 4: Simplify right side
    19,075.50x = 1,953,253,269.14
  5. Step 5: Solve for x
    x = 1,953,253,269.14/19,075.50
  6. Step 6: Final answer
    x = 102,395.91

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.