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Finding the Third Proportional to 12,968.44 and 20,642.34

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Solution

The third proportional to 12,968.44 and 20,642.34 is: 32,857.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,968.44 : 20,642.34 = 20,642.34 : x
  2. Step 2: Convert to fraction form
    12,968.44/20,642.34 = 20,642.34/x
  3. Step 3: Cross multiply
    12,968.44x = 20,642.34 × 20,642.34
  4. Step 4: Simplify right side
    12,968.44x = 426,106,355.49
  5. Step 5: Solve for x
    x = 426,106,355.49/12,968.44
  6. Step 6: Final answer
    x = 32,857.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.