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Finding the Third Proportional to 32,923 and 53,021

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Solution

The third proportional to 32,923 and 53,021 is: 85,387.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,923 : 53,021 = 53,021 : x
  2. Step 2: Convert to fraction form
    32,923/53,021 = 53,021/x
  3. Step 3: Cross multiply
    32,923x = 53,021 × 53,021
  4. Step 4: Simplify right side
    32,923x = 2,811,226,441
  5. Step 5: Solve for x
    x = 2,811,226,441/32,923
  6. Step 6: Final answer
    x = 85,387.92

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.