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Finding the Third Proportional to 6,075.21 and 12,571.88

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Solution

The third proportional to 6,075.21 and 12,571.88 is: 26,015.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075.21 : 12,571.88 = 12,571.88 : x
  2. Step 2: Convert to fraction form
    6,075.21/12,571.88 = 12,571.88/x
  3. Step 3: Cross multiply
    6,075.21x = 12,571.88 × 12,571.88
  4. Step 4: Simplify right side
    6,075.21x = 158,052,041.02
  5. Step 5: Solve for x
    x = 158,052,041.02/6,075.21
  6. Step 6: Final answer
    x = 26,015.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.