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Finding the Third Proportional to 11,938.50 and 28,082.25

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Solution

The third proportional to 11,938.50 and 28,082.25 is: 66,056.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,938.50 : 28,082.25 = 28,082.25 : x
  2. Step 2: Convert to fraction form
    11,938.50/28,082.25 = 28,082.25/x
  3. Step 3: Cross multiply
    11,938.50x = 28,082.25 × 28,082.25
  4. Step 4: Simplify right side
    11,938.50x = 788,612,765.06
  5. Step 5: Solve for x
    x = 788,612,765.06/11,938.50
  6. Step 6: Final answer
    x = 66,056.27

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.