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Finding the Third Proportional to 12,075 and 19,213.50

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Solution

The third proportional to 12,075 and 19,213.50 is: 30,572.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,075 : 19,213.50 = 19,213.50 : x
  2. Step 2: Convert to fraction form
    12,075/19,213.50 = 19,213.50/x
  3. Step 3: Cross multiply
    12,075x = 19,213.50 × 19,213.50
  4. Step 4: Simplify right side
    12,075x = 369,158,582.25
  5. Step 5: Solve for x
    x = 369,158,582.25/12,075
  6. Step 6: Final answer
    x = 30,572.14

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.