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Finding the Third Proportional to 25,082 and 53,500

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Solution

The third proportional to 25,082 and 53,500 is: 114,115.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,082 : 53,500 = 53,500 : x
  2. Step 2: Convert to fraction form
    25,082/53,500 = 53,500/x
  3. Step 3: Cross multiply
    25,082x = 53,500 × 53,500
  4. Step 4: Simplify right side
    25,082x = 2,862,250,000
  5. Step 5: Solve for x
    x = 2,862,250,000/25,082
  6. Step 6: Final answer
    x = 114,115.70

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.