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Finding the Third Proportional to 16,508 and 22,430

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Solution

The third proportional to 16,508 and 22,430 is: 30,476.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,508 : 22,430 = 22,430 : x
  2. Step 2: Convert to fraction form
    16,508/22,430 = 22,430/x
  3. Step 3: Cross multiply
    16,508x = 22,430 × 22,430
  4. Step 4: Simplify right side
    16,508x = 503,104,900
  5. Step 5: Solve for x
    x = 503,104,900/16,508
  6. Step 6: Final answer
    x = 30,476.43

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.