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Finding the Third Proportional to 17,442 and 37,764

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Solution

The third proportional to 17,442 and 37,764 is: 81,763.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,442 : 37,764 = 37,764 : x
  2. Step 2: Convert to fraction form
    17,442/37,764 = 37,764/x
  3. Step 3: Cross multiply
    17,442x = 37,764 × 37,764
  4. Step 4: Simplify right side
    17,442x = 1,426,119,696
  5. Step 5: Solve for x
    x = 1,426,119,696/17,442
  6. Step 6: Final answer
    x = 81,763.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.