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Finding the Third Proportional to 12,404.25 and 17,683.88

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Solution

The third proportional to 12,404.25 and 17,683.88 is: 25,210.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,404.25 : 17,683.88 = 17,683.88 : x
  2. Step 2: Convert to fraction form
    12,404.25/17,683.88 = 17,683.88/x
  3. Step 3: Cross multiply
    12,404.25x = 17,683.88 × 17,683.88
  4. Step 4: Simplify right side
    12,404.25x = 312,719,435.02
  5. Step 5: Solve for x
    x = 312,719,435.02/12,404.25
  6. Step 6: Final answer
    x = 25,210.67

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.