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Finding the Third Proportional to 26,701.31 and 41,509.97

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Solution

The third proportional to 26,701.31 and 41,509.97 is: 64,531.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,701.31 : 41,509.97 = 41,509.97 : x
  2. Step 2: Convert to fraction form
    26,701.31/41,509.97 = 41,509.97/x
  3. Step 3: Cross multiply
    26,701.31x = 41,509.97 × 41,509.97
  4. Step 4: Simplify right side
    26,701.31x = 1,723,077,505.63
  5. Step 5: Solve for x
    x = 1,723,077,505.63/26,701.31
  6. Step 6: Final answer
    x = 64,531.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.