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Finding the Third Proportional to 11,471.06 and 25,398.70

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Solution

The third proportional to 11,471.06 and 25,398.70 is: 56,236.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.06 : 25,398.70 = 25,398.70 : x
  2. Step 2: Convert to fraction form
    11,471.06/25,398.70 = 25,398.70/x
  3. Step 3: Cross multiply
    11,471.06x = 25,398.70 × 25,398.70
  4. Step 4: Simplify right side
    11,471.06x = 645,094,120.43
  5. Step 5: Solve for x
    x = 645,094,120.43/11,471.06
  6. Step 6: Final answer
    x = 56,236.65

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.