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Finding the Third Proportional to 36,234 and 56,082.38

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Solution

The third proportional to 36,234 and 56,082.38 is: 86,803.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,234 : 56,082.38 = 56,082.38 : x
  2. Step 2: Convert to fraction form
    36,234/56,082.38 = 56,082.38/x
  3. Step 3: Cross multiply
    36,234x = 56,082.38 × 56,082.38
  4. Step 4: Simplify right side
    36,234x = 3,145,232,785.64
  5. Step 5: Solve for x
    x = 3,145,232,785.64/36,234
  6. Step 6: Final answer
    x = 86,803.36

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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.