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Finding the Third Proportional to 5,118.19 and 13,359.94

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Solution

The third proportional to 5,118.19 and 13,359.94 is: 34,873.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,118.19 : 13,359.94 = 13,359.94 : x
  2. Step 2: Convert to fraction form
    5,118.19/13,359.94 = 13,359.94/x
  3. Step 3: Cross multiply
    5,118.19x = 13,359.94 × 13,359.94
  4. Step 4: Simplify right side
    5,118.19x = 178,487,930.00
  5. Step 5: Solve for x
    x = 178,487,930.00/5,118.19
  6. Step 6: Final answer
    x = 34,873.27

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.