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Finding the Third Proportional to 8,454 and 16,764

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Solution

The third proportional to 8,454 and 16,764 is: 33,242.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454 : 16,764 = 16,764 : x
  2. Step 2: Convert to fraction form
    8,454/16,764 = 16,764/x
  3. Step 3: Cross multiply
    8,454x = 16,764 × 16,764
  4. Step 4: Simplify right side
    8,454x = 281,031,696
  5. Step 5: Solve for x
    x = 281,031,696/8,454
  6. Step 6: Final answer
    x = 33,242.45

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.