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Finding the Third Proportional to 14,270.24 and 20,283.86

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Solution

The third proportional to 14,270.24 and 20,283.86 is: 28,831.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,270.24 : 20,283.86 = 20,283.86 : x
  2. Step 2: Convert to fraction form
    14,270.24/20,283.86 = 20,283.86/x
  3. Step 3: Cross multiply
    14,270.24x = 20,283.86 × 20,283.86
  4. Step 4: Simplify right side
    14,270.24x = 411,434,792.68
  5. Step 5: Solve for x
    x = 411,434,792.68/14,270.24
  6. Step 6: Final answer
    x = 28,831.67

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.