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Finding the Third Proportional to 13,102 and 26,815

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Solution

The third proportional to 13,102 and 26,815 is: 54,880.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102 : 26,815 = 26,815 : x
  2. Step 2: Convert to fraction form
    13,102/26,815 = 26,815/x
  3. Step 3: Cross multiply
    13,102x = 26,815 × 26,815
  4. Step 4: Simplify right side
    13,102x = 719,044,225
  5. Step 5: Solve for x
    x = 719,044,225/13,102
  6. Step 6: Final answer
    x = 54,880.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.