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Finding the Third Proportional to 13,768 and 20,617

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Solution

The third proportional to 13,768 and 20,617 is: 30,873.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768 : 20,617 = 20,617 : x
  2. Step 2: Convert to fraction form
    13,768/20,617 = 20,617/x
  3. Step 3: Cross multiply
    13,768x = 20,617 × 20,617
  4. Step 4: Simplify right side
    13,768x = 425,060,689
  5. Step 5: Solve for x
    x = 425,060,689/13,768
  6. Step 6: Final answer
    x = 30,873.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.