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Finding the Third Proportional to 53,826.75 and 73,891.13

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Solution

The third proportional to 53,826.75 and 73,891.13 is: 101,434.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,826.75 : 73,891.13 = 73,891.13 : x
  2. Step 2: Convert to fraction form
    53,826.75/73,891.13 = 73,891.13/x
  3. Step 3: Cross multiply
    53,826.75x = 73,891.13 × 73,891.13
  4. Step 4: Simplify right side
    53,826.75x = 5,459,898,353.77
  5. Step 5: Solve for x
    x = 5,459,898,353.77/53,826.75
  6. Step 6: Final answer
    x = 101,434.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.