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Finding the Third Proportional to 11,654.50 and 18,535

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Solution

The third proportional to 11,654.50 and 18,535 is: 29,477.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.50 : 18,535 = 18,535 : x
  2. Step 2: Convert to fraction form
    11,654.50/18,535 = 18,535/x
  3. Step 3: Cross multiply
    11,654.50x = 18,535 × 18,535
  4. Step 4: Simplify right side
    11,654.50x = 343,546,225
  5. Step 5: Solve for x
    x = 343,546,225/11,654.50
  6. Step 6: Final answer
    x = 29,477.56

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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.