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Finding the Third Proportional to 30,725 and 49,175

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Solution

The third proportional to 30,725 and 49,175 is: 78,704.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,725 : 49,175 = 49,175 : x
  2. Step 2: Convert to fraction form
    30,725/49,175 = 49,175/x
  3. Step 3: Cross multiply
    30,725x = 49,175 × 49,175
  4. Step 4: Simplify right side
    30,725x = 2,418,180,625
  5. Step 5: Solve for x
    x = 2,418,180,625/30,725
  6. Step 6: Final answer
    x = 78,704.01

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.