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Finding the Third Proportional to 26,185 and 37,021

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Solution

The third proportional to 26,185 and 37,021 is: 52,341.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,185 : 37,021 = 37,021 : x
  2. Step 2: Convert to fraction form
    26,185/37,021 = 37,021/x
  3. Step 3: Cross multiply
    26,185x = 37,021 × 37,021
  4. Step 4: Simplify right side
    26,185x = 1,370,554,441
  5. Step 5: Solve for x
    x = 1,370,554,441/26,185
  6. Step 6: Final answer
    x = 52,341.20

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.