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Finding the Third Proportional to 16,800.75 and 24,796.13

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Solution

The third proportional to 16,800.75 and 24,796.13 is: 36,596.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,800.75 : 24,796.13 = 24,796.13 : x
  2. Step 2: Convert to fraction form
    16,800.75/24,796.13 = 24,796.13/x
  3. Step 3: Cross multiply
    16,800.75x = 24,796.13 × 24,796.13
  4. Step 4: Simplify right side
    16,800.75x = 614,847,815.02
  5. Step 5: Solve for x
    x = 614,847,815.02/16,800.75
  6. Step 6: Final answer
    x = 36,596.45

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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.