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Finding the Third Proportional to 26,005 and 57,082

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Solution

The third proportional to 26,005 and 57,082 is: 125,297.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,005 : 57,082 = 57,082 : x
  2. Step 2: Convert to fraction form
    26,005/57,082 = 57,082/x
  3. Step 3: Cross multiply
    26,005x = 57,082 × 57,082
  4. Step 4: Simplify right side
    26,005x = 3,258,354,724
  5. Step 5: Solve for x
    x = 3,258,354,724/26,005
  6. Step 6: Final answer
    x = 125,297.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.