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Finding the Third Proportional to 36,645 and 55,485

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Solution

The third proportional to 36,645 and 55,485 is: 84,011.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,645 : 55,485 = 55,485 : x
  2. Step 2: Convert to fraction form
    36,645/55,485 = 55,485/x
  3. Step 3: Cross multiply
    36,645x = 55,485 × 55,485
  4. Step 4: Simplify right side
    36,645x = 3,078,585,225
  5. Step 5: Solve for x
    x = 3,078,585,225/36,645
  6. Step 6: Final answer
    x = 84,011.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.