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Finding the Third Proportional to 17,927.75 and 28,473.50

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Solution

The third proportional to 17,927.75 and 28,473.50 is: 45,222.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,927.75 : 28,473.50 = 28,473.50 : x
  2. Step 2: Convert to fraction form
    17,927.75/28,473.50 = 28,473.50/x
  3. Step 3: Cross multiply
    17,927.75x = 28,473.50 × 28,473.50
  4. Step 4: Simplify right side
    17,927.75x = 810,740,202.25
  5. Step 5: Solve for x
    x = 810,740,202.25/17,927.75
  6. Step 6: Final answer
    x = 45,222.64

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.