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Finding the Third Proportional to 19,306 and 41,933

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Solution

The third proportional to 19,306 and 41,933 is: 91,079.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,306 : 41,933 = 41,933 : x
  2. Step 2: Convert to fraction form
    19,306/41,933 = 41,933/x
  3. Step 3: Cross multiply
    19,306x = 41,933 × 41,933
  4. Step 4: Simplify right side
    19,306x = 1,758,376,489
  5. Step 5: Solve for x
    x = 1,758,376,489/19,306
  6. Step 6: Final answer
    x = 91,079.28

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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.