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Finding the Third Proportional to 20,382 and 30,778

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Solution

The third proportional to 20,382 and 30,778 is: 46,476.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,382 : 30,778 = 30,778 : x
  2. Step 2: Convert to fraction form
    20,382/30,778 = 30,778/x
  3. Step 3: Cross multiply
    20,382x = 30,778 × 30,778
  4. Step 4: Simplify right side
    20,382x = 947,285,284
  5. Step 5: Solve for x
    x = 947,285,284/20,382
  6. Step 6: Final answer
    x = 46,476.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.