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Finding the Third Proportional to 11,622.94 and 25,215.19

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Solution

The third proportional to 11,622.94 and 25,215.19 is: 54,702.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,622.94 : 25,215.19 = 25,215.19 : x
  2. Step 2: Convert to fraction form
    11,622.94/25,215.19 = 25,215.19/x
  3. Step 3: Cross multiply
    11,622.94x = 25,215.19 × 25,215.19
  4. Step 4: Simplify right side
    11,622.94x = 635,805,680.66
  5. Step 5: Solve for x
    x = 635,805,680.66/11,622.94
  6. Step 6: Final answer
    x = 54,702.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.