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Finding the Third Proportional to 16,402 and 35,918

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Solution

The third proportional to 16,402 and 35,918 is: 78,655.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402 : 35,918 = 35,918 : x
  2. Step 2: Convert to fraction form
    16,402/35,918 = 35,918/x
  3. Step 3: Cross multiply
    16,402x = 35,918 × 35,918
  4. Step 4: Simplify right side
    16,402x = 1,290,102,724
  5. Step 5: Solve for x
    x = 1,290,102,724/16,402
  6. Step 6: Final answer
    x = 78,655.21

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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.