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Finding the Third Proportional to 18,060 and 19,404

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Solution

The third proportional to 18,060 and 19,404 is: 20,848.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,060 : 19,404 = 19,404 : x
  2. Step 2: Convert to fraction form
    18,060/19,404 = 19,404/x
  3. Step 3: Cross multiply
    18,060x = 19,404 × 19,404
  4. Step 4: Simplify right side
    18,060x = 376,515,216
  5. Step 5: Solve for x
    x = 376,515,216/18,060
  6. Step 6: Final answer
    x = 20,848.02

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.