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Finding the Third Proportional to 16,623 and 24,913

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Solution

The third proportional to 16,623 and 24,913 is: 37,337.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,623 : 24,913 = 24,913 : x
  2. Step 2: Convert to fraction form
    16,623/24,913 = 24,913/x
  3. Step 3: Cross multiply
    16,623x = 24,913 × 24,913
  4. Step 4: Simplify right side
    16,623x = 620,657,569
  5. Step 5: Solve for x
    x = 620,657,569/16,623
  6. Step 6: Final answer
    x = 37,337.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.