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Finding the Third Proportional to 3,703.50 and 8,075.25

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Solution

The third proportional to 3,703.50 and 8,075.25 is: 17,607.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.50 : 8,075.25 = 8,075.25 : x
  2. Step 2: Convert to fraction form
    3,703.50/8,075.25 = 8,075.25/x
  3. Step 3: Cross multiply
    3,703.50x = 8,075.25 × 8,075.25
  4. Step 4: Simplify right side
    3,703.50x = 65,209,662.56
  5. Step 5: Solve for x
    x = 65,209,662.56/3,703.50
  6. Step 6: Final answer
    x = 17,607.58

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.