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Finding the Third Proportional to 21,508 and 32,388

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Solution

The third proportional to 21,508 and 32,388 is: 48,771.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,508 : 32,388 = 32,388 : x
  2. Step 2: Convert to fraction form
    21,508/32,388 = 32,388/x
  3. Step 3: Cross multiply
    21,508x = 32,388 × 32,388
  4. Step 4: Simplify right side
    21,508x = 1,048,982,544
  5. Step 5: Solve for x
    x = 1,048,982,544/21,508
  6. Step 6: Final answer
    x = 48,771.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.