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Finding the Third Proportional to 17,476.75 and 38,025.50

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Solution

The third proportional to 17,476.75 and 38,025.50 is: 82,734.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,476.75 : 38,025.50 = 38,025.50 : x
  2. Step 2: Convert to fraction form
    17,476.75/38,025.50 = 38,025.50/x
  3. Step 3: Cross multiply
    17,476.75x = 38,025.50 × 38,025.50
  4. Step 4: Simplify right side
    17,476.75x = 1,445,938,650.25
  5. Step 5: Solve for x
    x = 1,445,938,650.25/17,476.75
  6. Step 6: Final answer
    x = 82,734.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.