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Finding the Third Proportional to 14,000 and 20,082

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Solution

The third proportional to 14,000 and 20,082 is: 28,806.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,000 : 20,082 = 20,082 : x
  2. Step 2: Convert to fraction form
    14,000/20,082 = 20,082/x
  3. Step 3: Cross multiply
    14,000x = 20,082 × 20,082
  4. Step 4: Simplify right side
    14,000x = 403,286,724
  5. Step 5: Solve for x
    x = 403,286,724/14,000
  6. Step 6: Final answer
    x = 28,806.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.