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Finding the Third Proportional to 12,745 and 28,000

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Solution

The third proportional to 12,745 and 28,000 is: 61,514.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,745 : 28,000 = 28,000 : x
  2. Step 2: Convert to fraction form
    12,745/28,000 = 28,000/x
  3. Step 3: Cross multiply
    12,745x = 28,000 × 28,000
  4. Step 4: Simplify right side
    12,745x = 784,000,000
  5. Step 5: Solve for x
    x = 784,000,000/12,745
  6. Step 6: Final answer
    x = 61,514.32

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.