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Finding the Third Proportional to 11,646 and 18,555.75

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Solution

The third proportional to 11,646 and 18,555.75 is: 29,565.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646 : 18,555.75 = 18,555.75 : x
  2. Step 2: Convert to fraction form
    11,646/18,555.75 = 18,555.75/x
  3. Step 3: Cross multiply
    11,646x = 18,555.75 × 18,555.75
  4. Step 4: Simplify right side
    11,646x = 344,315,858.06
  5. Step 5: Solve for x
    x = 344,315,858.06/11,646
  6. Step 6: Final answer
    x = 29,565.16

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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.