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Finding the Third Proportional to 19,972 and 40,808

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Solution

The third proportional to 19,972 and 40,808 is: 83,381.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,972 : 40,808 = 40,808 : x
  2. Step 2: Convert to fraction form
    19,972/40,808 = 40,808/x
  3. Step 3: Cross multiply
    19,972x = 40,808 × 40,808
  4. Step 4: Simplify right side
    19,972x = 1,665,292,864
  5. Step 5: Solve for x
    x = 1,665,292,864/19,972
  6. Step 6: Final answer
    x = 83,381.38

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.