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Finding the Third Proportional to 15,150.75 and 32,408.25

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Solution

The third proportional to 15,150.75 and 32,408.25 is: 69,322.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,150.75 : 32,408.25 = 32,408.25 : x
  2. Step 2: Convert to fraction form
    15,150.75/32,408.25 = 32,408.25/x
  3. Step 3: Cross multiply
    15,150.75x = 32,408.25 × 32,408.25
  4. Step 4: Simplify right side
    15,150.75x = 1,050,294,668.06
  5. Step 5: Solve for x
    x = 1,050,294,668.06/15,150.75
  6. Step 6: Final answer
    x = 69,322.95

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.