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Finding the Third Proportional to 11,700 and 14,676.75

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Solution

The third proportional to 11,700 and 14,676.75 is: 18,410.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700 : 14,676.75 = 14,676.75 : x
  2. Step 2: Convert to fraction form
    11,700/14,676.75 = 14,676.75/x
  3. Step 3: Cross multiply
    11,700x = 14,676.75 × 14,676.75
  4. Step 4: Simplify right side
    11,700x = 215,406,990.56
  5. Step 5: Solve for x
    x = 215,406,990.56/11,700
  6. Step 6: Final answer
    x = 18,410.85

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.