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Finding the Third Proportional to 27,524.50 and 42,175

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Solution

The third proportional to 27,524.50 and 42,175 is: 64,623.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,524.50 : 42,175 = 42,175 : x
  2. Step 2: Convert to fraction form
    27,524.50/42,175 = 42,175/x
  3. Step 3: Cross multiply
    27,524.50x = 42,175 × 42,175
  4. Step 4: Simplify right side
    27,524.50x = 1,778,730,625
  5. Step 5: Solve for x
    x = 1,778,730,625/27,524.50
  6. Step 6: Final answer
    x = 64,623.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.