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Finding the Third Proportional to 28,401 and 61,725

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Solution

The third proportional to 28,401 and 61,725 is: 134,149.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,401 : 61,725 = 61,725 : x
  2. Step 2: Convert to fraction form
    28,401/61,725 = 61,725/x
  3. Step 3: Cross multiply
    28,401x = 61,725 × 61,725
  4. Step 4: Simplify right side
    28,401x = 3,809,975,625
  5. Step 5: Solve for x
    x = 3,809,975,625/28,401
  6. Step 6: Final answer
    x = 134,149.35

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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.