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Finding the Third Proportional to 24,075 and 57,994

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Solution

The third proportional to 24,075 and 57,994 is: 139,701.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,075 : 57,994 = 57,994 : x
  2. Step 2: Convert to fraction form
    24,075/57,994 = 57,994/x
  3. Step 3: Cross multiply
    24,075x = 57,994 × 57,994
  4. Step 4: Simplify right side
    24,075x = 3,363,304,036
  5. Step 5: Solve for x
    x = 3,363,304,036/24,075
  6. Step 6: Final answer
    x = 139,701.10

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.