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Finding the Third Proportional to 26,905.50 and 41,943

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Solution

The third proportional to 26,905.50 and 41,943 is: 65,384.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,905.50 : 41,943 = 41,943 : x
  2. Step 2: Convert to fraction form
    26,905.50/41,943 = 41,943/x
  3. Step 3: Cross multiply
    26,905.50x = 41,943 × 41,943
  4. Step 4: Simplify right side
    26,905.50x = 1,759,215,249
  5. Step 5: Solve for x
    x = 1,759,215,249/26,905.50
  6. Step 6: Final answer
    x = 65,384.97

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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.