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Finding the Third Proportional to 5,369.31 and 10,889.63

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Solution

The third proportional to 5,369.31 and 10,889.63 is: 22,085.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369.31 : 10,889.63 = 10,889.63 : x
  2. Step 2: Convert to fraction form
    5,369.31/10,889.63 = 10,889.63/x
  3. Step 3: Cross multiply
    5,369.31x = 10,889.63 × 10,889.63
  4. Step 4: Simplify right side
    5,369.31x = 118,583,932.64
  5. Step 5: Solve for x
    x = 118,583,932.64/5,369.31
  6. Step 6: Final answer
    x = 22,085.50

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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.