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Finding the Third Proportional to 18,404 and 40,080

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Solution

The third proportional to 18,404 and 40,080 is: 87,285.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,404 : 40,080 = 40,080 : x
  2. Step 2: Convert to fraction form
    18,404/40,080 = 40,080/x
  3. Step 3: Cross multiply
    18,404x = 40,080 × 40,080
  4. Step 4: Simplify right side
    18,404x = 1,606,406,400
  5. Step 5: Solve for x
    x = 1,606,406,400/18,404
  6. Step 6: Final answer
    x = 87,285.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.