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Finding the Third Proportional to 26,106 and 37,305

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Solution

The third proportional to 26,106 and 37,305 is: 53,308.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,106 : 37,305 = 37,305 : x
  2. Step 2: Convert to fraction form
    26,106/37,305 = 37,305/x
  3. Step 3: Cross multiply
    26,106x = 37,305 × 37,305
  4. Step 4: Simplify right side
    26,106x = 1,391,663,025
  5. Step 5: Solve for x
    x = 1,391,663,025/26,106
  6. Step 6: Final answer
    x = 53,308.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.