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Finding the Third Proportional to 11,939.63 and 25,641.19

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Solution

The third proportional to 11,939.63 and 25,641.19 is: 55,066.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,939.63 : 25,641.19 = 25,641.19 : x
  2. Step 2: Convert to fraction form
    11,939.63/25,641.19 = 25,641.19/x
  3. Step 3: Cross multiply
    11,939.63x = 25,641.19 × 25,641.19
  4. Step 4: Simplify right side
    11,939.63x = 657,470,496.41
  5. Step 5: Solve for x
    x = 657,470,496.41/11,939.63
  6. Step 6: Final answer
    x = 55,066.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.