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Finding the Third Proportional to 11,975.11 and 25,590.46

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Solution

The third proportional to 11,975.11 and 25,590.46 is: 54,686.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,975.11 : 25,590.46 = 25,590.46 : x
  2. Step 2: Convert to fraction form
    11,975.11/25,590.46 = 25,590.46/x
  3. Step 3: Cross multiply
    11,975.11x = 25,590.46 × 25,590.46
  4. Step 4: Simplify right side
    11,975.11x = 654,871,790.96
  5. Step 5: Solve for x
    x = 654,871,790.96/11,975.11
  6. Step 6: Final answer
    x = 54,686.09

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.