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Finding the Third Proportional to 18,492 and 30,043.13

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Solution

The third proportional to 18,492 and 30,043.13 is: 48,809.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,492 : 30,043.13 = 30,043.13 : x
  2. Step 2: Convert to fraction form
    18,492/30,043.13 = 30,043.13/x
  3. Step 3: Cross multiply
    18,492x = 30,043.13 × 30,043.13
  4. Step 4: Simplify right side
    18,492x = 902,589,359.77
  5. Step 5: Solve for x
    x = 902,589,359.77/18,492
  6. Step 6: Final answer
    x = 48,809.72

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.