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Finding the Third Proportional to 32,823.94 and 36,207.38

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Solution

The third proportional to 32,823.94 and 36,207.38 is: 39,939.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,823.94 : 36,207.38 = 36,207.38 : x
  2. Step 2: Convert to fraction form
    32,823.94/36,207.38 = 36,207.38/x
  3. Step 3: Cross multiply
    32,823.94x = 36,207.38 × 36,207.38
  4. Step 4: Simplify right side
    32,823.94x = 1,310,974,004.39
  5. Step 5: Solve for x
    x = 1,310,974,004.39/32,823.94
  6. Step 6: Final answer
    x = 39,939.57

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.