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Finding the Third Proportional to 18,497.25 and 40,491

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Solution

The third proportional to 18,497.25 and 40,491 is: 88,635.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,497.25 : 40,491 = 40,491 : x
  2. Step 2: Convert to fraction form
    18,497.25/40,491 = 40,491/x
  3. Step 3: Cross multiply
    18,497.25x = 40,491 × 40,491
  4. Step 4: Simplify right side
    18,497.25x = 1,639,521,081
  5. Step 5: Solve for x
    x = 1,639,521,081/18,497.25
  6. Step 6: Final answer
    x = 88,635.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.