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Finding the Third Proportional to 16,778.39 and 23,519.74

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Solution

The third proportional to 16,778.39 and 23,519.74 is: 32,969.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,778.39 : 23,519.74 = 23,519.74 : x
  2. Step 2: Convert to fraction form
    16,778.39/23,519.74 = 23,519.74/x
  3. Step 3: Cross multiply
    16,778.39x = 23,519.74 × 23,519.74
  4. Step 4: Simplify right side
    16,778.39x = 553,178,272.57
  5. Step 5: Solve for x
    x = 553,178,272.57/16,778.39
  6. Step 6: Final answer
    x = 32,969.69

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.