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Finding the Third Proportional to 4,968.09 and 10,511.30

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Solution

The third proportional to 4,968.09 and 10,511.30 is: 22,239.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.09 : 10,511.30 = 10,511.30 : x
  2. Step 2: Convert to fraction form
    4,968.09/10,511.30 = 10,511.30/x
  3. Step 3: Cross multiply
    4,968.09x = 10,511.30 × 10,511.30
  4. Step 4: Simplify right side
    4,968.09x = 110,487,361.99
  5. Step 5: Solve for x
    x = 110,487,361.99/4,968.09
  6. Step 6: Final answer
    x = 22,239.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.