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Finding the Third Proportional to 19,956 and 47,082

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Solution

The third proportional to 19,956 and 47,082 is: 111,080.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,956 : 47,082 = 47,082 : x
  2. Step 2: Convert to fraction form
    19,956/47,082 = 47,082/x
  3. Step 3: Cross multiply
    19,956x = 47,082 × 47,082
  4. Step 4: Simplify right side
    19,956x = 2,216,714,724
  5. Step 5: Solve for x
    x = 2,216,714,724/19,956
  6. Step 6: Final answer
    x = 111,080.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.