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Finding the Third Proportional to 36,254.25 and 56,450.25

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Solution

The third proportional to 36,254.25 and 56,450.25 is: 87,896.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,254.25 : 56,450.25 = 56,450.25 : x
  2. Step 2: Convert to fraction form
    36,254.25/56,450.25 = 56,450.25/x
  3. Step 3: Cross multiply
    36,254.25x = 56,450.25 × 56,450.25
  4. Step 4: Simplify right side
    36,254.25x = 3,186,630,725.06
  5. Step 5: Solve for x
    x = 3,186,630,725.06/36,254.25
  6. Step 6: Final answer
    x = 87,896.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.