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Finding the Third Proportional to 4,924.88 and 11,389.31

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Solution

The third proportional to 4,924.88 and 11,389.31 is: 26,339.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,924.88 : 11,389.31 = 11,389.31 : x
  2. Step 2: Convert to fraction form
    4,924.88/11,389.31 = 11,389.31/x
  3. Step 3: Cross multiply
    4,924.88x = 11,389.31 × 11,389.31
  4. Step 4: Simplify right side
    4,924.88x = 129,716,439.22
  5. Step 5: Solve for x
    x = 129,716,439.22/4,924.88
  6. Step 6: Final answer
    x = 26,339.03

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.