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Finding the Third Proportional to 6,359.34 and 12,898.41

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Solution

The third proportional to 6,359.34 and 12,898.41 is: 26,161.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,359.34 : 12,898.41 = 12,898.41 : x
  2. Step 2: Convert to fraction form
    6,359.34/12,898.41 = 12,898.41/x
  3. Step 3: Cross multiply
    6,359.34x = 12,898.41 × 12,898.41
  4. Step 4: Simplify right side
    6,359.34x = 166,368,883.79
  5. Step 5: Solve for x
    x = 166,368,883.79/6,359.34
  6. Step 6: Final answer
    x = 26,161.33

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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.