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Finding the Third Proportional to 13,246 and 20,651

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Solution

The third proportional to 13,246 and 20,651 is: 32,195.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,246 : 20,651 = 20,651 : x
  2. Step 2: Convert to fraction form
    13,246/20,651 = 20,651/x
  3. Step 3: Cross multiply
    13,246x = 20,651 × 20,651
  4. Step 4: Simplify right side
    13,246x = 426,463,801
  5. Step 5: Solve for x
    x = 426,463,801/13,246
  6. Step 6: Final answer
    x = 32,195.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.