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Finding the Third Proportional to 26,963 and 41,385

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Solution

The third proportional to 26,963 and 41,385 is: 63,521.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,963 : 41,385 = 41,385 : x
  2. Step 2: Convert to fraction form
    26,963/41,385 = 41,385/x
  3. Step 3: Cross multiply
    26,963x = 41,385 × 41,385
  4. Step 4: Simplify right side
    26,963x = 1,712,718,225
  5. Step 5: Solve for x
    x = 1,712,718,225/26,963
  6. Step 6: Final answer
    x = 63,521.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.