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Finding the Third Proportional to 11,346.75 and 17,609.63

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Solution

The third proportional to 11,346.75 and 17,609.63 is: 27,329.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,346.75 : 17,609.63 = 17,609.63 : x
  2. Step 2: Convert to fraction form
    11,346.75/17,609.63 = 17,609.63/x
  3. Step 3: Cross multiply
    11,346.75x = 17,609.63 × 17,609.63
  4. Step 4: Simplify right side
    11,346.75x = 310,098,892.64
  5. Step 5: Solve for x
    x = 310,098,892.64/11,346.75
  6. Step 6: Final answer
    x = 27,329.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.