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Finding the Third Proportional to 16,635 and 25,020

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Solution

The third proportional to 16,635 and 25,020 is: 37,631.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,635 : 25,020 = 25,020 : x
  2. Step 2: Convert to fraction form
    16,635/25,020 = 25,020/x
  3. Step 3: Cross multiply
    16,635x = 25,020 × 25,020
  4. Step 4: Simplify right side
    16,635x = 626,000,400
  5. Step 5: Solve for x
    x = 626,000,400/16,635
  6. Step 6: Final answer
    x = 37,631.52

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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.