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Finding the Third Proportional to 28,021 and 43,385

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Solution

The third proportional to 28,021 and 43,385 is: 67,173.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,021 : 43,385 = 43,385 : x
  2. Step 2: Convert to fraction form
    28,021/43,385 = 43,385/x
  3. Step 3: Cross multiply
    28,021x = 43,385 × 43,385
  4. Step 4: Simplify right side
    28,021x = 1,882,258,225
  5. Step 5: Solve for x
    x = 1,882,258,225/28,021
  6. Step 6: Final answer
    x = 67,173.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.