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Finding the Third Proportional to 10,201.50 and 21,435.75

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Solution

The third proportional to 10,201.50 and 21,435.75 is: 45,041.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.50 : 21,435.75 = 21,435.75 : x
  2. Step 2: Convert to fraction form
    10,201.50/21,435.75 = 21,435.75/x
  3. Step 3: Cross multiply
    10,201.50x = 21,435.75 × 21,435.75
  4. Step 4: Simplify right side
    10,201.50x = 459,491,378.06
  5. Step 5: Solve for x
    x = 459,491,378.06/10,201.50
  6. Step 6: Final answer
    x = 45,041.55

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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.