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Finding the Third Proportional to 11,643.75 and 17,473.50

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Solution

The third proportional to 11,643.75 and 17,473.50 is: 26,222.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.75 : 17,473.50 = 17,473.50 : x
  2. Step 2: Convert to fraction form
    11,643.75/17,473.50 = 17,473.50/x
  3. Step 3: Cross multiply
    11,643.75x = 17,473.50 × 17,473.50
  4. Step 4: Simplify right side
    11,643.75x = 305,323,202.25
  5. Step 5: Solve for x
    x = 305,323,202.25/11,643.75
  6. Step 6: Final answer
    x = 26,222.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.