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Finding the Third Proportional to 26,534 and 41,415

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Solution

The third proportional to 26,534 and 41,415 is: 64,641.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,534 : 41,415 = 41,415 : x
  2. Step 2: Convert to fraction form
    26,534/41,415 = 41,415/x
  3. Step 3: Cross multiply
    26,534x = 41,415 × 41,415
  4. Step 4: Simplify right side
    26,534x = 1,715,202,225
  5. Step 5: Solve for x
    x = 1,715,202,225/26,534
  6. Step 6: Final answer
    x = 64,641.68

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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.