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Finding the Third Proportional to 5,434.31 and 11,905.31

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Solution

The third proportional to 5,434.31 and 11,905.31 is: 26,081.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,434.31 : 11,905.31 = 11,905.31 : x
  2. Step 2: Convert to fraction form
    5,434.31/11,905.31 = 11,905.31/x
  3. Step 3: Cross multiply
    5,434.31x = 11,905.31 × 11,905.31
  4. Step 4: Simplify right side
    5,434.31x = 141,736,465.72
  5. Step 5: Solve for x
    x = 141,736,465.72/5,434.31
  6. Step 6: Final answer
    x = 26,081.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.