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Finding the Third Proportional to 13,977 and 20,776

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Solution

The third proportional to 13,977 and 20,776 is: 30,882.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,977 : 20,776 = 20,776 : x
  2. Step 2: Convert to fraction form
    13,977/20,776 = 20,776/x
  3. Step 3: Cross multiply
    13,977x = 20,776 × 20,776
  4. Step 4: Simplify right side
    13,977x = 431,642,176
  5. Step 5: Solve for x
    x = 431,642,176/13,977
  6. Step 6: Final answer
    x = 30,882.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.