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Finding the Third Proportional to 10,922 and 16,487

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Solution

The third proportional to 10,922 and 16,487 is: 24,887.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,922 : 16,487 = 16,487 : x
  2. Step 2: Convert to fraction form
    10,922/16,487 = 16,487/x
  3. Step 3: Cross multiply
    10,922x = 16,487 × 16,487
  4. Step 4: Simplify right side
    10,922x = 271,821,169
  5. Step 5: Solve for x
    x = 271,821,169/10,922
  6. Step 6: Final answer
    x = 24,887.49

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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.