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Finding the Third Proportional to 11,609.25 and 25,065.75

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Solution

The third proportional to 11,609.25 and 25,065.75 is: 54,119.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,609.25 : 25,065.75 = 25,065.75 : x
  2. Step 2: Convert to fraction form
    11,609.25/25,065.75 = 25,065.75/x
  3. Step 3: Cross multiply
    11,609.25x = 25,065.75 × 25,065.75
  4. Step 4: Simplify right side
    11,609.25x = 628,291,823.06
  5. Step 5: Solve for x
    x = 628,291,823.06/11,609.25
  6. Step 6: Final answer
    x = 54,119.93

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Why These Related Problems?

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