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Finding the Third Proportional to 28,229 and 61,321

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Solution

The third proportional to 28,229 and 61,321 is: 133,205.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,229 : 61,321 = 61,321 : x
  2. Step 2: Convert to fraction form
    28,229/61,321 = 61,321/x
  3. Step 3: Cross multiply
    28,229x = 61,321 × 61,321
  4. Step 4: Simplify right side
    28,229x = 3,760,265,041
  5. Step 5: Solve for x
    x = 3,760,265,041/28,229
  6. Step 6: Final answer
    x = 133,205.75

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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.