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Finding the Third Proportional to 15,984.21 and 25,074.09

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Solution

The third proportional to 15,984.21 and 25,074.09 is: 39,333.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,984.21 : 25,074.09 = 25,074.09 : x
  2. Step 2: Convert to fraction form
    15,984.21/25,074.09 = 25,074.09/x
  3. Step 3: Cross multiply
    15,984.21x = 25,074.09 × 25,074.09
  4. Step 4: Simplify right side
    15,984.21x = 628,709,883.55
  5. Step 5: Solve for x
    x = 628,709,883.55/15,984.21
  6. Step 6: Final answer
    x = 39,333.18

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