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Finding the Third Proportional to 26,094 and 39,705

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Solution

The third proportional to 26,094 and 39,705 is: 60,415.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,094 : 39,705 = 39,705 : x
  2. Step 2: Convert to fraction form
    26,094/39,705 = 39,705/x
  3. Step 3: Cross multiply
    26,094x = 39,705 × 39,705
  4. Step 4: Simplify right side
    26,094x = 1,576,487,025
  5. Step 5: Solve for x
    x = 1,576,487,025/26,094
  6. Step 6: Final answer
    x = 60,415.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.