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Finding the Third Proportional to 6,075 and 9,382.08

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Solution

The third proportional to 6,075 and 9,382.08 is: 14,489.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075 : 9,382.08 = 9,382.08 : x
  2. Step 2: Convert to fraction form
    6,075/9,382.08 = 9,382.08/x
  3. Step 3: Cross multiply
    6,075x = 9,382.08 × 9,382.08
  4. Step 4: Simplify right side
    6,075x = 88,023,389.94
  5. Step 5: Solve for x
    x = 88,023,389.94/6,075
  6. Step 6: Final answer
    x = 14,489.45

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