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Finding the Third Proportional to 19,427 and 40,236

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Solution

The third proportional to 19,427 and 40,236 is: 83,334.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,427 : 40,236 = 40,236 : x
  2. Step 2: Convert to fraction form
    19,427/40,236 = 40,236/x
  3. Step 3: Cross multiply
    19,427x = 40,236 × 40,236
  4. Step 4: Simplify right side
    19,427x = 1,618,935,696
  5. Step 5: Solve for x
    x = 1,618,935,696/19,427
  6. Step 6: Final answer
    x = 83,334.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.