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Finding the Third Proportional to 26,210 and 55,376

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Solution

The third proportional to 26,210 and 55,376 is: 116,997.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,210 : 55,376 = 55,376 : x
  2. Step 2: Convert to fraction form
    26,210/55,376 = 55,376/x
  3. Step 3: Cross multiply
    26,210x = 55,376 × 55,376
  4. Step 4: Simplify right side
    26,210x = 3,066,501,376
  5. Step 5: Solve for x
    x = 3,066,501,376/26,210
  6. Step 6: Final answer
    x = 116,997.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.