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Finding the Third Proportional to 14,920.88 and 19,608.75

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Solution

The third proportional to 14,920.88 and 19,608.75 is: 25,769.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,920.88 : 19,608.75 = 19,608.75 : x
  2. Step 2: Convert to fraction form
    14,920.88/19,608.75 = 19,608.75/x
  3. Step 3: Cross multiply
    14,920.88x = 19,608.75 × 19,608.75
  4. Step 4: Simplify right side
    14,920.88x = 384,503,076.56
  5. Step 5: Solve for x
    x = 384,503,076.56/14,920.88
  6. Step 6: Final answer
    x = 25,769.47

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.