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Finding the Third Proportional to 11,823.75 and 19,352.25

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Solution

The third proportional to 11,823.75 and 19,352.25 is: 31,674.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823.75 : 19,352.25 = 19,352.25 : x
  2. Step 2: Convert to fraction form
    11,823.75/19,352.25 = 19,352.25/x
  3. Step 3: Cross multiply
    11,823.75x = 19,352.25 × 19,352.25
  4. Step 4: Simplify right side
    11,823.75x = 374,509,580.06
  5. Step 5: Solve for x
    x = 374,509,580.06/11,823.75
  6. Step 6: Final answer
    x = 31,674.35

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.