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Finding the Third Proportional to 16,698.66 and 24,415.80

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Solution

The third proportional to 16,698.66 and 24,415.80 is: 35,699.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,698.66 : 24,415.80 = 24,415.80 : x
  2. Step 2: Convert to fraction form
    16,698.66/24,415.80 = 24,415.80/x
  3. Step 3: Cross multiply
    16,698.66x = 24,415.80 × 24,415.80
  4. Step 4: Simplify right side
    16,698.66x = 596,131,518.54
  5. Step 5: Solve for x
    x = 596,131,518.54/16,698.66
  6. Step 6: Final answer
    x = 35,699.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.