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Finding the Third Proportional to 24,075 and 35,913

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Solution

The third proportional to 24,075 and 35,913 is: 53,571.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,075 : 35,913 = 35,913 : x
  2. Step 2: Convert to fraction form
    24,075/35,913 = 35,913/x
  3. Step 3: Cross multiply
    24,075x = 35,913 × 35,913
  4. Step 4: Simplify right side
    24,075x = 1,289,743,569
  5. Step 5: Solve for x
    x = 1,289,743,569/24,075
  6. Step 6: Final answer
    x = 53,571.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.