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Finding the Third Proportional to 31,205.25 and 40,965.75

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Solution

The third proportional to 31,205.25 and 40,965.75 is: 53,779.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,205.25 : 40,965.75 = 40,965.75 : x
  2. Step 2: Convert to fraction form
    31,205.25/40,965.75 = 40,965.75/x
  3. Step 3: Cross multiply
    31,205.25x = 40,965.75 × 40,965.75
  4. Step 4: Simplify right side
    31,205.25x = 1,678,192,673.06
  5. Step 5: Solve for x
    x = 1,678,192,673.06/31,205.25
  6. Step 6: Final answer
    x = 53,779.18

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.