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Finding the Third Proportional to 13,261 and 27,800

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Solution

The third proportional to 13,261 and 27,800 is: 58,279.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,261 : 27,800 = 27,800 : x
  2. Step 2: Convert to fraction form
    13,261/27,800 = 27,800/x
  3. Step 3: Cross multiply
    13,261x = 27,800 × 27,800
  4. Step 4: Simplify right side
    13,261x = 772,840,000
  5. Step 5: Solve for x
    x = 772,840,000/13,261
  6. Step 6: Final answer
    x = 58,279.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.