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Finding the Third Proportional to 13,951.13 and 19,514.25

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Solution

The third proportional to 13,951.13 and 19,514.25 is: 27,295.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,951.13 : 19,514.25 = 19,514.25 : x
  2. Step 2: Convert to fraction form
    13,951.13/19,514.25 = 19,514.25/x
  3. Step 3: Cross multiply
    13,951.13x = 19,514.25 × 19,514.25
  4. Step 4: Simplify right side
    13,951.13x = 380,805,953.06
  5. Step 5: Solve for x
    x = 380,805,953.06/13,951.13
  6. Step 6: Final answer
    x = 27,295.72

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.