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Finding the Third Proportional to 18,524 and 40,650

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Solution

The third proportional to 18,524 and 40,650 is: 89,204.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,524 : 40,650 = 40,650 : x
  2. Step 2: Convert to fraction form
    18,524/40,650 = 40,650/x
  3. Step 3: Cross multiply
    18,524x = 40,650 × 40,650
  4. Step 4: Simplify right side
    18,524x = 1,652,422,500
  5. Step 5: Solve for x
    x = 1,652,422,500/18,524
  6. Step 6: Final answer
    x = 89,204.41

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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.