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Finding the Third Proportional to 13,026 and 20,082

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Solution

The third proportional to 13,026 and 20,082 is: 30,960.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026 : 20,082 = 20,082 : x
  2. Step 2: Convert to fraction form
    13,026/20,082 = 20,082/x
  3. Step 3: Cross multiply
    13,026x = 20,082 × 20,082
  4. Step 4: Simplify right side
    13,026x = 403,286,724
  5. Step 5: Solve for x
    x = 403,286,724/13,026
  6. Step 6: Final answer
    x = 30,960.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.