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Finding the Third Proportional to 12,075 and 19,213

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Solution

The third proportional to 12,075 and 19,213 is: 30,570.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,075 : 19,213 = 19,213 : x
  2. Step 2: Convert to fraction form
    12,075/19,213 = 19,213/x
  3. Step 3: Cross multiply
    12,075x = 19,213 × 19,213
  4. Step 4: Simplify right side
    12,075x = 369,139,369
  5. Step 5: Solve for x
    x = 369,139,369/12,075
  6. Step 6: Final answer
    x = 30,570.55

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Why These Related Problems?

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