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Finding the Third Proportional to 12,792.94 and 22,817.32

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Solution

The third proportional to 12,792.94 and 22,817.32 is: 40,696.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,792.94 : 22,817.32 = 22,817.32 : x
  2. Step 2: Convert to fraction form
    12,792.94/22,817.32 = 22,817.32/x
  3. Step 3: Cross multiply
    12,792.94x = 22,817.32 × 22,817.32
  4. Step 4: Simplify right side
    12,792.94x = 520,630,106.24
  5. Step 5: Solve for x
    x = 520,630,106.24/12,792.94
  6. Step 6: Final answer
    x = 40,696.68

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.