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Finding the Third Proportional to 13,156 and 19,786

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Solution

The third proportional to 13,156 and 19,786 is: 29,757.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,156 : 19,786 = 19,786 : x
  2. Step 2: Convert to fraction form
    13,156/19,786 = 19,786/x
  3. Step 3: Cross multiply
    13,156x = 19,786 × 19,786
  4. Step 4: Simplify right side
    13,156x = 391,485,796
  5. Step 5: Solve for x
    x = 391,485,796/13,156
  6. Step 6: Final answer
    x = 29,757.21

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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.