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Finding the Third Proportional to 36,326 and 56,271

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Solution

The third proportional to 36,326 and 56,271 is: 87,166.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,326 : 56,271 = 56,271 : x
  2. Step 2: Convert to fraction form
    36,326/56,271 = 56,271/x
  3. Step 3: Cross multiply
    36,326x = 56,271 × 56,271
  4. Step 4: Simplify right side
    36,326x = 3,166,425,441
  5. Step 5: Solve for x
    x = 3,166,425,441/36,326
  6. Step 6: Final answer
    x = 87,166.92

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.