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Finding the Third Proportional to 26,506.75 and 40,609.25

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Solution

The third proportional to 26,506.75 and 40,609.25 is: 62,214.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,506.75 : 40,609.25 = 40,609.25 : x
  2. Step 2: Convert to fraction form
    26,506.75/40,609.25 = 40,609.25/x
  3. Step 3: Cross multiply
    26,506.75x = 40,609.25 × 40,609.25
  4. Step 4: Simplify right side
    26,506.75x = 1,649,111,185.56
  5. Step 5: Solve for x
    x = 1,649,111,185.56/26,506.75
  6. Step 6: Final answer
    x = 62,214.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.