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Finding the Third Proportional to 30,724 and 45,874

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Solution

The third proportional to 30,724 and 45,874 is: 68,494.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,724 : 45,874 = 45,874 : x
  2. Step 2: Convert to fraction form
    30,724/45,874 = 45,874/x
  3. Step 3: Cross multiply
    30,724x = 45,874 × 45,874
  4. Step 4: Simplify right side
    30,724x = 2,104,423,876
  5. Step 5: Solve for x
    x = 2,104,423,876/30,724
  6. Step 6: Final answer
    x = 68,494.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.