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Finding the Third Proportional to 12,075.75 and 18,573.75

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Solution

The third proportional to 12,075.75 and 18,573.75 is: 28,568.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,075.75 : 18,573.75 = 18,573.75 : x
  2. Step 2: Convert to fraction form
    12,075.75/18,573.75 = 18,573.75/x
  3. Step 3: Cross multiply
    12,075.75x = 18,573.75 × 18,573.75
  4. Step 4: Simplify right side
    12,075.75x = 344,984,189.06
  5. Step 5: Solve for x
    x = 344,984,189.06/12,075.75
  6. Step 6: Final answer
    x = 28,568.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.