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Finding the Third Proportional to 40,097 and 56,500

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Solution

The third proportional to 40,097 and 56,500 is: 79,613.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,097 : 56,500 = 56,500 : x
  2. Step 2: Convert to fraction form
    40,097/56,500 = 56,500/x
  3. Step 3: Cross multiply
    40,097x = 56,500 × 56,500
  4. Step 4: Simplify right side
    40,097x = 3,192,250,000
  5. Step 5: Solve for x
    x = 3,192,250,000/40,097
  6. Step 6: Final answer
    x = 79,613.19

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.