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Finding the Third Proportional to 11,612.50 and 17,706.75

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Solution

The third proportional to 11,612.50 and 17,706.75 is: 26,999.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,612.50 : 17,706.75 = 17,706.75 : x
  2. Step 2: Convert to fraction form
    11,612.50/17,706.75 = 17,706.75/x
  3. Step 3: Cross multiply
    11,612.50x = 17,706.75 × 17,706.75
  4. Step 4: Simplify right side
    11,612.50x = 313,528,995.56
  5. Step 5: Solve for x
    x = 313,528,995.56/11,612.50
  6. Step 6: Final answer
    x = 26,999.27

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