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Finding the Third Proportional to 26,165 and 39,143

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Solution

The third proportional to 26,165 and 39,143 is: 58,558.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,165 : 39,143 = 39,143 : x
  2. Step 2: Convert to fraction form
    26,165/39,143 = 39,143/x
  3. Step 3: Cross multiply
    26,165x = 39,143 × 39,143
  4. Step 4: Simplify right side
    26,165x = 1,532,174,449
  5. Step 5: Solve for x
    x = 1,532,174,449/26,165
  6. Step 6: Final answer
    x = 58,558.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.