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Finding the Third Proportional to 16,764 and 24,855

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Solution

The third proportional to 16,764 and 24,855 is: 36,851.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,764 : 24,855 = 24,855 : x
  2. Step 2: Convert to fraction form
    16,764/24,855 = 24,855/x
  3. Step 3: Cross multiply
    16,764x = 24,855 × 24,855
  4. Step 4: Simplify right side
    16,764x = 617,771,025
  5. Step 5: Solve for x
    x = 617,771,025/16,764
  6. Step 6: Final answer
    x = 36,851.05

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.