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Finding the Third Proportional to 18,984 and 41,280

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Solution

The third proportional to 18,984 and 41,280 is: 89,761.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,984 : 41,280 = 41,280 : x
  2. Step 2: Convert to fraction form
    18,984/41,280 = 41,280/x
  3. Step 3: Cross multiply
    18,984x = 41,280 × 41,280
  4. Step 4: Simplify right side
    18,984x = 1,704,038,400
  5. Step 5: Solve for x
    x = 1,704,038,400/18,984
  6. Step 6: Final answer
    x = 89,761.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.