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Finding the Third Proportional to 10,143 and 20,565

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Solution

The third proportional to 10,143 and 20,565 is: 41,695.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143 : 20,565 = 20,565 : x
  2. Step 2: Convert to fraction form
    10,143/20,565 = 20,565/x
  3. Step 3: Cross multiply
    10,143x = 20,565 × 20,565
  4. Step 4: Simplify right side
    10,143x = 422,919,225
  5. Step 5: Solve for x
    x = 422,919,225/10,143
  6. Step 6: Final answer
    x = 41,695.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.