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Finding the Third Proportional to 6,174.56 and 13,314.38

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Solution

The third proportional to 6,174.56 and 13,314.38 is: 28,710.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.56 : 13,314.38 = 13,314.38 : x
  2. Step 2: Convert to fraction form
    6,174.56/13,314.38 = 13,314.38/x
  3. Step 3: Cross multiply
    6,174.56x = 13,314.38 × 13,314.38
  4. Step 4: Simplify right side
    6,174.56x = 177,272,581.64
  5. Step 5: Solve for x
    x = 177,272,581.64/6,174.56
  6. Step 6: Final answer
    x = 28,710.14

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.