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Finding the Third Proportional to 36,284 and 55,507

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Solution

The third proportional to 36,284 and 55,507 is: 84,914.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,284 : 55,507 = 55,507 : x
  2. Step 2: Convert to fraction form
    36,284/55,507 = 55,507/x
  3. Step 3: Cross multiply
    36,284x = 55,507 × 55,507
  4. Step 4: Simplify right side
    36,284x = 3,081,027,049
  5. Step 5: Solve for x
    x = 3,081,027,049/36,284
  6. Step 6: Final answer
    x = 84,914.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.