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Finding the Third Proportional to 13,284 and 26,910

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Solution

The third proportional to 13,284 and 26,910 is: 54,512.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,284 : 26,910 = 26,910 : x
  2. Step 2: Convert to fraction form
    13,284/26,910 = 26,910/x
  3. Step 3: Cross multiply
    13,284x = 26,910 × 26,910
  4. Step 4: Simplify right side
    13,284x = 724,148,100
  5. Step 5: Solve for x
    x = 724,148,100/13,284
  6. Step 6: Final answer
    x = 54,512.80

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.