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Finding the Third Proportional to 11,328.75 and 17,676.56

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Solution

The third proportional to 11,328.75 and 17,676.56 is: 27,581.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,328.75 : 17,676.56 = 17,676.56 : x
  2. Step 2: Convert to fraction form
    11,328.75/17,676.56 = 17,676.56/x
  3. Step 3: Cross multiply
    11,328.75x = 17,676.56 × 17,676.56
  4. Step 4: Simplify right side
    11,328.75x = 312,460,861.82
  5. Step 5: Solve for x
    x = 312,460,861.82/11,328.75
  6. Step 6: Final answer
    x = 27,581.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.