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Finding the Third Proportional to 26,056 and 35,844

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Solution

The third proportional to 26,056 and 35,844 is: 49,308.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,056 : 35,844 = 35,844 : x
  2. Step 2: Convert to fraction form
    26,056/35,844 = 35,844/x
  3. Step 3: Cross multiply
    26,056x = 35,844 × 35,844
  4. Step 4: Simplify right side
    26,056x = 1,284,792,336
  5. Step 5: Solve for x
    x = 1,284,792,336/26,056
  6. Step 6: Final answer
    x = 49,308.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.