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Finding the Third Proportional to 26,274.38 and 40,181.06

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Solution

The third proportional to 26,274.38 and 40,181.06 is: 61,448.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,274.38 : 40,181.06 = 40,181.06 : x
  2. Step 2: Convert to fraction form
    26,274.38/40,181.06 = 40,181.06/x
  3. Step 3: Cross multiply
    26,274.38x = 40,181.06 × 40,181.06
  4. Step 4: Simplify right side
    26,274.38x = 1,614,517,783.63
  5. Step 5: Solve for x
    x = 1,614,517,783.63/26,274.38
  6. Step 6: Final answer
    x = 61,448.38

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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.