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Finding the Third Proportional to 7,951.92 and 16,557.96

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Solution

The third proportional to 7,951.92 and 16,557.96 is: 34,477.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.92 : 16,557.96 = 16,557.96 : x
  2. Step 2: Convert to fraction form
    7,951.92/16,557.96 = 16,557.96/x
  3. Step 3: Cross multiply
    7,951.92x = 16,557.96 × 16,557.96
  4. Step 4: Simplify right side
    7,951.92x = 274,166,070.41
  5. Step 5: Solve for x
    x = 274,166,070.41/7,951.92
  6. Step 6: Final answer
    x = 34,477.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.