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Finding the Third Proportional to 36,553 and 55,230

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Solution

The third proportional to 36,553 and 55,230 is: 83,450.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,553 : 55,230 = 55,230 : x
  2. Step 2: Convert to fraction form
    36,553/55,230 = 55,230/x
  3. Step 3: Cross multiply
    36,553x = 55,230 × 55,230
  4. Step 4: Simplify right side
    36,553x = 3,050,352,900
  5. Step 5: Solve for x
    x = 3,050,352,900/36,553
  6. Step 6: Final answer
    x = 83,450.14

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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.