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Finding the Third Proportional to 19,402 and 41,972

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Solution

The third proportional to 19,402 and 41,972 is: 90,797.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,402 : 41,972 = 41,972 : x
  2. Step 2: Convert to fraction form
    19,402/41,972 = 41,972/x
  3. Step 3: Cross multiply
    19,402x = 41,972 × 41,972
  4. Step 4: Simplify right side
    19,402x = 1,761,648,784
  5. Step 5: Solve for x
    x = 1,761,648,784/19,402
  6. Step 6: Final answer
    x = 90,797.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.