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Finding the Third Proportional to 28,082 and 40,971

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Solution

The third proportional to 28,082 and 40,971 is: 59,775.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,082 : 40,971 = 40,971 : x
  2. Step 2: Convert to fraction form
    28,082/40,971 = 40,971/x
  3. Step 3: Cross multiply
    28,082x = 40,971 × 40,971
  4. Step 4: Simplify right side
    28,082x = 1,678,622,841
  5. Step 5: Solve for x
    x = 1,678,622,841/28,082
  6. Step 6: Final answer
    x = 59,775.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.