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Finding the Third Proportional to 11,592.75 and 17,610

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Solution

The third proportional to 11,592.75 and 17,610 is: 26,750.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,592.75 : 17,610 = 17,610 : x
  2. Step 2: Convert to fraction form
    11,592.75/17,610 = 17,610/x
  3. Step 3: Cross multiply
    11,592.75x = 17,610 × 17,610
  4. Step 4: Simplify right side
    11,592.75x = 310,112,100
  5. Step 5: Solve for x
    x = 310,112,100/11,592.75
  6. Step 6: Final answer
    x = 26,750.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.