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Finding the Third Proportional to 19,412 and 29,683

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Solution

The third proportional to 19,412 and 29,683 is: 45,388.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,412 : 29,683 = 29,683 : x
  2. Step 2: Convert to fraction form
    19,412/29,683 = 29,683/x
  3. Step 3: Cross multiply
    19,412x = 29,683 × 29,683
  4. Step 4: Simplify right side
    19,412x = 881,080,489
  5. Step 5: Solve for x
    x = 881,080,489/19,412
  6. Step 6: Final answer
    x = 45,388.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.