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Finding the Third Proportional to 36,956.25 and 56,882.25

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Solution

The third proportional to 36,956.25 and 56,882.25 is: 87,551.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,956.25 : 56,882.25 = 56,882.25 : x
  2. Step 2: Convert to fraction form
    36,956.25/56,882.25 = 56,882.25/x
  3. Step 3: Cross multiply
    36,956.25x = 56,882.25 × 56,882.25
  4. Step 4: Simplify right side
    36,956.25x = 3,235,590,365.06
  5. Step 5: Solve for x
    x = 3,235,590,365.06/36,956.25
  6. Step 6: Final answer
    x = 87,551.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.