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Finding the Third Proportional to 4,962.94 and 10,898.44

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Solution

The third proportional to 4,962.94 and 10,898.44 is: 23,932.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,962.94 : 10,898.44 = 10,898.44 : x
  2. Step 2: Convert to fraction form
    4,962.94/10,898.44 = 10,898.44/x
  3. Step 3: Cross multiply
    4,962.94x = 10,898.44 × 10,898.44
  4. Step 4: Simplify right side
    4,962.94x = 118,775,939.94
  5. Step 5: Solve for x
    x = 118,775,939.94/4,962.94
  6. Step 6: Final answer
    x = 23,932.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.