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Finding the Third Proportional to 19,378 and 40,932

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Solution

The third proportional to 19,378 and 40,932 is: 86,460.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,378 : 40,932 = 40,932 : x
  2. Step 2: Convert to fraction form
    19,378/40,932 = 40,932/x
  3. Step 3: Cross multiply
    19,378x = 40,932 × 40,932
  4. Step 4: Simplify right side
    19,378x = 1,675,428,624
  5. Step 5: Solve for x
    x = 1,675,428,624/19,378
  6. Step 6: Final answer
    x = 86,460.35

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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.