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Finding the Third Proportional to 10,199.25 and 21,431.25

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Solution

The third proportional to 10,199.25 and 21,431.25 is: 45,032.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199.25 : 21,431.25 = 21,431.25 : x
  2. Step 2: Convert to fraction form
    10,199.25/21,431.25 = 21,431.25/x
  3. Step 3: Cross multiply
    10,199.25x = 21,431.25 × 21,431.25
  4. Step 4: Simplify right side
    10,199.25x = 459,298,476.56
  5. Step 5: Solve for x
    x = 459,298,476.56/10,199.25
  6. Step 6: Final answer
    x = 45,032.57

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.