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Finding the Third Proportional to 18,018 and 38,702

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Solution

The third proportional to 18,018 and 38,702 is: 83,130.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,018 : 38,702 = 38,702 : x
  2. Step 2: Convert to fraction form
    18,018/38,702 = 38,702/x
  3. Step 3: Cross multiply
    18,018x = 38,702 × 38,702
  4. Step 4: Simplify right side
    18,018x = 1,497,844,804
  5. Step 5: Solve for x
    x = 1,497,844,804/18,018
  6. Step 6: Final answer
    x = 83,130.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.