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Finding the Third Proportional to 26,142.75 and 40,758.19

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Solution

The third proportional to 26,142.75 and 40,758.19 is: 63,544.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,142.75 : 40,758.19 = 40,758.19 : x
  2. Step 2: Convert to fraction form
    26,142.75/40,758.19 = 40,758.19/x
  3. Step 3: Cross multiply
    26,142.75x = 40,758.19 × 40,758.19
  4. Step 4: Simplify right side
    26,142.75x = 1,661,229,848.29
  5. Step 5: Solve for x
    x = 1,661,229,848.29/26,142.75
  6. Step 6: Final answer
    x = 63,544.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.