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Finding the Third Proportional to 13,117 and 27,713

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Solution

The third proportional to 13,117 and 27,713 is: 58,550.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,117 : 27,713 = 27,713 : x
  2. Step 2: Convert to fraction form
    13,117/27,713 = 27,713/x
  3. Step 3: Cross multiply
    13,117x = 27,713 × 27,713
  4. Step 4: Simplify right side
    13,117x = 768,010,369
  5. Step 5: Solve for x
    x = 768,010,369/13,117
  6. Step 6: Final answer
    x = 58,550.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.