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Finding the Third Proportional to 37,523.25 and 56,175.75

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Solution

The third proportional to 37,523.25 and 56,175.75 is: 84,100.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,523.25 : 56,175.75 = 56,175.75 : x
  2. Step 2: Convert to fraction form
    37,523.25/56,175.75 = 56,175.75/x
  3. Step 3: Cross multiply
    37,523.25x = 56,175.75 × 56,175.75
  4. Step 4: Simplify right side
    37,523.25x = 3,155,714,888.06
  5. Step 5: Solve for x
    x = 3,155,714,888.06/37,523.25
  6. Step 6: Final answer
    x = 84,100.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.