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Finding the Third Proportional to 36,147 and 55,597.50

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Solution

The third proportional to 36,147 and 55,597.50 is: 85,514.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,147 : 55,597.50 = 55,597.50 : x
  2. Step 2: Convert to fraction form
    36,147/55,597.50 = 55,597.50/x
  3. Step 3: Cross multiply
    36,147x = 55,597.50 × 55,597.50
  4. Step 4: Simplify right side
    36,147x = 3,091,082,006.25
  5. Step 5: Solve for x
    x = 3,091,082,006.25/36,147
  6. Step 6: Final answer
    x = 85,514.21

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