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Finding the Third Proportional to 3,824.72 and 9,075.80

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Solution

The third proportional to 3,824.72 and 9,075.80 is: 21,536.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.72 : 9,075.80 = 9,075.80 : x
  2. Step 2: Convert to fraction form
    3,824.72/9,075.80 = 9,075.80/x
  3. Step 3: Cross multiply
    3,824.72x = 9,075.80 × 9,075.80
  4. Step 4: Simplify right side
    3,824.72x = 82,370,088.92
  5. Step 5: Solve for x
    x = 82,370,088.92/3,824.72
  6. Step 6: Final answer
    x = 21,536.25

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.