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Finding the Third Proportional to 28,884 and 61,412

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Solution

The third proportional to 28,884 and 61,412 is: 130,571.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,884 : 61,412 = 61,412 : x
  2. Step 2: Convert to fraction form
    28,884/61,412 = 61,412/x
  3. Step 3: Cross multiply
    28,884x = 61,412 × 61,412
  4. Step 4: Simplify right side
    28,884x = 3,771,433,744
  5. Step 5: Solve for x
    x = 3,771,433,744/28,884
  6. Step 6: Final answer
    x = 130,571.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.