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Finding the Third Proportional to 16,823.81 and 30,358.69

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Solution

The third proportional to 16,823.81 and 30,358.69 is: 54,782.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,823.81 : 30,358.69 = 30,358.69 : x
  2. Step 2: Convert to fraction form
    16,823.81/30,358.69 = 30,358.69/x
  3. Step 3: Cross multiply
    16,823.81x = 30,358.69 × 30,358.69
  4. Step 4: Simplify right side
    16,823.81x = 921,649,906.72
  5. Step 5: Solve for x
    x = 921,649,906.72/16,823.81
  6. Step 6: Final answer
    x = 54,782.46

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.