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Finding the Third Proportional to 34,407 and 53,175

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Solution

The third proportional to 34,407 and 53,175 is: 82,180.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,407 : 53,175 = 53,175 : x
  2. Step 2: Convert to fraction form
    34,407/53,175 = 53,175/x
  3. Step 3: Cross multiply
    34,407x = 53,175 × 53,175
  4. Step 4: Simplify right side
    34,407x = 2,827,580,625
  5. Step 5: Solve for x
    x = 2,827,580,625/34,407
  6. Step 6: Final answer
    x = 82,180.39

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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.