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Finding the Third Proportional to 5,200 and 7,323

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Solution

The third proportional to 5,200 and 7,323 is: 10,312.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200 : 7,323 = 7,323 : x
  2. Step 2: Convert to fraction form
    5,200/7,323 = 7,323/x
  3. Step 3: Cross multiply
    5,200x = 7,323 × 7,323
  4. Step 4: Simplify right side
    5,200x = 53,626,329
  5. Step 5: Solve for x
    x = 53,626,329/5,200
  6. Step 6: Final answer
    x = 10,312.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.