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Finding the Third Proportional to 9,792.56 and 14,269.92

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Solution

The third proportional to 9,792.56 and 14,269.92 is: 20,794.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.56 : 14,269.92 = 14,269.92 : x
  2. Step 2: Convert to fraction form
    9,792.56/14,269.92 = 14,269.92/x
  3. Step 3: Cross multiply
    9,792.56x = 14,269.92 × 14,269.92
  4. Step 4: Simplify right side
    9,792.56x = 203,630,670.32
  5. Step 5: Solve for x
    x = 203,630,670.32/9,792.56
  6. Step 6: Final answer
    x = 20,794.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.