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Finding the Third Proportional to 15,994.50 and 25,041

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Solution

The third proportional to 15,994.50 and 25,041 is: 39,204.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,994.50 : 25,041 = 25,041 : x
  2. Step 2: Convert to fraction form
    15,994.50/25,041 = 25,041/x
  3. Step 3: Cross multiply
    15,994.50x = 25,041 × 25,041
  4. Step 4: Simplify right side
    15,994.50x = 627,051,681
  5. Step 5: Solve for x
    x = 627,051,681/15,994.50
  6. Step 6: Final answer
    x = 39,204.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.