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Finding the Third Proportional to 15,075.66 and 22,161.75

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Solution

The third proportional to 15,075.66 and 22,161.75 is: 32,578.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,075.66 : 22,161.75 = 22,161.75 : x
  2. Step 2: Convert to fraction form
    15,075.66/22,161.75 = 22,161.75/x
  3. Step 3: Cross multiply
    15,075.66x = 22,161.75 × 22,161.75
  4. Step 4: Simplify right side
    15,075.66x = 491,143,163.06
  5. Step 5: Solve for x
    x = 491,143,163.06/15,075.66
  6. Step 6: Final answer
    x = 32,578.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.