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Finding the Third Proportional to 26,522 and 37,179

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Solution

The third proportional to 26,522 and 37,179 is: 52,118.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,522 : 37,179 = 37,179 : x
  2. Step 2: Convert to fraction form
    26,522/37,179 = 37,179/x
  3. Step 3: Cross multiply
    26,522x = 37,179 × 37,179
  4. Step 4: Simplify right side
    26,522x = 1,382,278,041
  5. Step 5: Solve for x
    x = 1,382,278,041/26,522
  6. Step 6: Final answer
    x = 52,118.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.