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Finding the Third Proportional to 24,325.50 and 31,082.25

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Solution

The third proportional to 24,325.50 and 31,082.25 is: 39,715.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,325.50 : 31,082.25 = 31,082.25 : x
  2. Step 2: Convert to fraction form
    24,325.50/31,082.25 = 31,082.25/x
  3. Step 3: Cross multiply
    24,325.50x = 31,082.25 × 31,082.25
  4. Step 4: Simplify right side
    24,325.50x = 966,106,265.06
  5. Step 5: Solve for x
    x = 966,106,265.06/24,325.50
  6. Step 6: Final answer
    x = 39,715.78

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.