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Finding the Third Proportional to 5,200 and 11,342

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Solution

The third proportional to 5,200 and 11,342 is: 24,738.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200 : 11,342 = 11,342 : x
  2. Step 2: Convert to fraction form
    5,200/11,342 = 11,342/x
  3. Step 3: Cross multiply
    5,200x = 11,342 × 11,342
  4. Step 4: Simplify right side
    5,200x = 128,640,964
  5. Step 5: Solve for x
    x = 128,640,964/5,200
  6. Step 6: Final answer
    x = 24,738.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.