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Finding the Third Proportional to 5,693.31 and 12,507.54

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Solution

The third proportional to 5,693.31 and 12,507.54 is: 27,477.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.31 : 12,507.54 = 12,507.54 : x
  2. Step 2: Convert to fraction form
    5,693.31/12,507.54 = 12,507.54/x
  3. Step 3: Cross multiply
    5,693.31x = 12,507.54 × 12,507.54
  4. Step 4: Simplify right side
    5,693.31x = 156,438,533.40
  5. Step 5: Solve for x
    x = 156,438,533.40/5,693.31
  6. Step 6: Final answer
    x = 27,477.61

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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.