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Finding the Third Proportional to 36,218 and 54,570

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Solution

The third proportional to 36,218 and 54,570 is: 82,221.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,218 : 54,570 = 54,570 : x
  2. Step 2: Convert to fraction form
    36,218/54,570 = 54,570/x
  3. Step 3: Cross multiply
    36,218x = 54,570 × 54,570
  4. Step 4: Simplify right side
    36,218x = 2,977,884,900
  5. Step 5: Solve for x
    x = 2,977,884,900/36,218
  6. Step 6: Final answer
    x = 82,221.13

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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.