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Finding the Third Proportional to 13,038 and 20,511

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Solution

The third proportional to 13,038 and 20,511 is: 32,267.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038 : 20,511 = 20,511 : x
  2. Step 2: Convert to fraction form
    13,038/20,511 = 20,511/x
  3. Step 3: Cross multiply
    13,038x = 20,511 × 20,511
  4. Step 4: Simplify right side
    13,038x = 420,701,121
  5. Step 5: Solve for x
    x = 420,701,121/13,038
  6. Step 6: Final answer
    x = 32,267.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.