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Finding the Third Proportional to 18,402 and 39,719

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Solution

The third proportional to 18,402 and 39,719 is: 85,729.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,402 : 39,719 = 39,719 : x
  2. Step 2: Convert to fraction form
    18,402/39,719 = 39,719/x
  3. Step 3: Cross multiply
    18,402x = 39,719 × 39,719
  4. Step 4: Simplify right side
    18,402x = 1,577,598,961
  5. Step 5: Solve for x
    x = 1,577,598,961/18,402
  6. Step 6: Final answer
    x = 85,729.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.