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Finding the Third Proportional to 11,905.50 and 25,927

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Solution

The third proportional to 11,905.50 and 25,927 is: 56,462.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.50 : 25,927 = 25,927 : x
  2. Step 2: Convert to fraction form
    11,905.50/25,927 = 25,927/x
  3. Step 3: Cross multiply
    11,905.50x = 25,927 × 25,927
  4. Step 4: Simplify right side
    11,905.50x = 672,209,329
  5. Step 5: Solve for x
    x = 672,209,329/11,905.50
  6. Step 6: Final answer
    x = 56,462.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.