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Finding the Third Proportional to 24,581 and 37,075

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Solution

The third proportional to 24,581 and 37,075 is: 55,919.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,581 : 37,075 = 37,075 : x
  2. Step 2: Convert to fraction form
    24,581/37,075 = 37,075/x
  3. Step 3: Cross multiply
    24,581x = 37,075 × 37,075
  4. Step 4: Simplify right side
    24,581x = 1,374,555,625
  5. Step 5: Solve for x
    x = 1,374,555,625/24,581
  6. Step 6: Final answer
    x = 55,919.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.