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Finding the Third Proportional to 36,103 and 63,389

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Solution

The third proportional to 36,103 and 63,389 is: 111,297.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,103 : 63,389 = 63,389 : x
  2. Step 2: Convert to fraction form
    36,103/63,389 = 63,389/x
  3. Step 3: Cross multiply
    36,103x = 63,389 × 63,389
  4. Step 4: Simplify right side
    36,103x = 4,018,165,321
  5. Step 5: Solve for x
    x = 4,018,165,321/36,103
  6. Step 6: Final answer
    x = 111,297.27

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.