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Finding the Third Proportional to 19,540 and 30,630

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Solution

The third proportional to 19,540 and 30,630 is: 48,014.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,540 : 30,630 = 30,630 : x
  2. Step 2: Convert to fraction form
    19,540/30,630 = 30,630/x
  3. Step 3: Cross multiply
    19,540x = 30,630 × 30,630
  4. Step 4: Simplify right side
    19,540x = 938,196,900
  5. Step 5: Solve for x
    x = 938,196,900/19,540
  6. Step 6: Final answer
    x = 48,014.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.