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Finding the Third Proportional to 14,147.16 and 20,734.73

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Solution

The third proportional to 14,147.16 and 20,734.73 is: 30,389.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,147.16 : 20,734.73 = 20,734.73 : x
  2. Step 2: Convert to fraction form
    14,147.16/20,734.73 = 20,734.73/x
  3. Step 3: Cross multiply
    14,147.16x = 20,734.73 × 20,734.73
  4. Step 4: Simplify right side
    14,147.16x = 429,929,209.60
  5. Step 5: Solve for x
    x = 429,929,209.60/14,147.16
  6. Step 6: Final answer
    x = 30,389.80

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.