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Finding the Third Proportional to 14,196.75 and 19,907.25

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Solution

The third proportional to 14,196.75 and 19,907.25 is: 27,914.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,196.75 : 19,907.25 = 19,907.25 : x
  2. Step 2: Convert to fraction form
    14,196.75/19,907.25 = 19,907.25/x
  3. Step 3: Cross multiply
    14,196.75x = 19,907.25 × 19,907.25
  4. Step 4: Simplify right side
    14,196.75x = 396,298,602.56
  5. Step 5: Solve for x
    x = 396,298,602.56/14,196.75
  6. Step 6: Final answer
    x = 27,914.74

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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.