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Finding the Third Proportional to 16,803 and 24,821.44

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Solution

The third proportional to 16,803 and 24,821.44 is: 36,666.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,803 : 24,821.44 = 24,821.44 : x
  2. Step 2: Convert to fraction form
    16,803/24,821.44 = 24,821.44/x
  3. Step 3: Cross multiply
    16,803x = 24,821.44 × 24,821.44
  4. Step 4: Simplify right side
    16,803x = 616,103,759.57
  5. Step 5: Solve for x
    x = 616,103,759.57/16,803
  6. Step 6: Final answer
    x = 36,666.30

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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.