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Finding the Third Proportional to 6,177.38 and 13,586.63

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Solution

The third proportional to 6,177.38 and 13,586.63 is: 29,882.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.38 : 13,586.63 = 13,586.63 : x
  2. Step 2: Convert to fraction form
    6,177.38/13,586.63 = 13,586.63/x
  3. Step 3: Cross multiply
    6,177.38x = 13,586.63 × 13,586.63
  4. Step 4: Simplify right side
    6,177.38x = 184,596,378.89
  5. Step 5: Solve for x
    x = 184,596,378.89/6,177.38
  6. Step 6: Final answer
    x = 29,882.66

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.