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Finding the Third Proportional to 12,142.41 and 26,676.84

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Solution

The third proportional to 12,142.41 and 26,676.84 is: 58,608.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142.41 : 26,676.84 = 26,676.84 : x
  2. Step 2: Convert to fraction form
    12,142.41/26,676.84 = 26,676.84/x
  3. Step 3: Cross multiply
    12,142.41x = 26,676.84 × 26,676.84
  4. Step 4: Simplify right side
    12,142.41x = 711,653,992.46
  5. Step 5: Solve for x
    x = 711,653,992.46/12,142.41
  6. Step 6: Final answer
    x = 58,608.98

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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.