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Finding the Third Proportional to 36,930 and 55,437

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Solution

The third proportional to 36,930 and 55,437 is: 83,218.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,930 : 55,437 = 55,437 : x
  2. Step 2: Convert to fraction form
    36,930/55,437 = 55,437/x
  3. Step 3: Cross multiply
    36,930x = 55,437 × 55,437
  4. Step 4: Simplify right side
    36,930x = 3,073,260,969
  5. Step 5: Solve for x
    x = 3,073,260,969/36,930
  6. Step 6: Final answer
    x = 83,218.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.