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Finding the Third Proportional to 12,984.24 and 28,044.43

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Solution

The third proportional to 12,984.24 and 28,044.43 is: 60,572.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,984.24 : 28,044.43 = 28,044.43 : x
  2. Step 2: Convert to fraction form
    12,984.24/28,044.43 = 28,044.43/x
  3. Step 3: Cross multiply
    12,984.24x = 28,044.43 × 28,044.43
  4. Step 4: Simplify right side
    12,984.24x = 786,490,091.27
  5. Step 5: Solve for x
    x = 786,490,091.27/12,984.24
  6. Step 6: Final answer
    x = 60,572.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.