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Finding the Third Proportional to 6,357.94 and 12,888.84

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Solution

The third proportional to 6,357.94 and 12,888.84 is: 26,128.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.94 : 12,888.84 = 12,888.84 : x
  2. Step 2: Convert to fraction form
    6,357.94/12,888.84 = 12,888.84/x
  3. Step 3: Cross multiply
    6,357.94x = 12,888.84 × 12,888.84
  4. Step 4: Simplify right side
    6,357.94x = 166,122,293.21
  5. Step 5: Solve for x
    x = 166,122,293.21/6,357.94
  6. Step 6: Final answer
    x = 26,128.33

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.