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Finding the Third Proportional to 18,653 and 40,981

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Solution

The third proportional to 18,653 and 40,981 is: 90,036.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,653 : 40,981 = 40,981 : x
  2. Step 2: Convert to fraction form
    18,653/40,981 = 40,981/x
  3. Step 3: Cross multiply
    18,653x = 40,981 × 40,981
  4. Step 4: Simplify right side
    18,653x = 1,679,442,361
  5. Step 5: Solve for x
    x = 1,679,442,361/18,653
  6. Step 6: Final answer
    x = 90,036.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.