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Finding the Third Proportional to 19,446 and 40,143

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Solution

The third proportional to 19,446 and 40,143 is: 82,868.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,446 : 40,143 = 40,143 : x
  2. Step 2: Convert to fraction form
    19,446/40,143 = 40,143/x
  3. Step 3: Cross multiply
    19,446x = 40,143 × 40,143
  4. Step 4: Simplify right side
    19,446x = 1,611,460,449
  5. Step 5: Solve for x
    x = 1,611,460,449/19,446
  6. Step 6: Final answer
    x = 82,868.48

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.