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Finding the Third Proportional to 18,604 and 40,489

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Solution

The third proportional to 18,604 and 40,489 is: 88,118.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,604 : 40,489 = 40,489 : x
  2. Step 2: Convert to fraction form
    18,604/40,489 = 40,489/x
  3. Step 3: Cross multiply
    18,604x = 40,489 × 40,489
  4. Step 4: Simplify right side
    18,604x = 1,639,359,121
  5. Step 5: Solve for x
    x = 1,639,359,121/18,604
  6. Step 6: Final answer
    x = 88,118.64

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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.