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Finding the Third Proportional to 12,106.34 and 16,237.34

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Solution

The third proportional to 12,106.34 and 16,237.34 is: 21,777.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.34 : 16,237.34 = 16,237.34 : x
  2. Step 2: Convert to fraction form
    12,106.34/16,237.34 = 16,237.34/x
  3. Step 3: Cross multiply
    12,106.34x = 16,237.34 × 16,237.34
  4. Step 4: Simplify right side
    12,106.34x = 263,651,078.35
  5. Step 5: Solve for x
    x = 263,651,078.35/12,106.34
  6. Step 6: Final answer
    x = 21,777.94

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.