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Finding the Third Proportional to 16,823.81 and 36,434.25

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Solution

The third proportional to 16,823.81 and 36,434.25 is: 78,903.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,823.81 : 36,434.25 = 36,434.25 : x
  2. Step 2: Convert to fraction form
    16,823.81/36,434.25 = 36,434.25/x
  3. Step 3: Cross multiply
    16,823.81x = 36,434.25 × 36,434.25
  4. Step 4: Simplify right side
    16,823.81x = 1,327,454,573.06
  5. Step 5: Solve for x
    x = 1,327,454,573.06/16,823.81
  6. Step 6: Final answer
    x = 78,903.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.