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Finding the Third Proportional to 5,075.44 and 10,900.69

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Solution

The third proportional to 5,075.44 and 10,900.69 is: 23,411.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,075.44 : 10,900.69 = 10,900.69 : x
  2. Step 2: Convert to fraction form
    5,075.44/10,900.69 = 10,900.69/x
  3. Step 3: Cross multiply
    5,075.44x = 10,900.69 × 10,900.69
  4. Step 4: Simplify right side
    5,075.44x = 118,824,987.97
  5. Step 5: Solve for x
    x = 118,824,987.97/5,075.44
  6. Step 6: Final answer
    x = 23,411.77

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.