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Finding the Third Proportional to 36,454 and 56,199

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Solution

The third proportional to 36,454 and 56,199 is: 86,638.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,454 : 56,199 = 56,199 : x
  2. Step 2: Convert to fraction form
    36,454/56,199 = 56,199/x
  3. Step 3: Cross multiply
    36,454x = 56,199 × 56,199
  4. Step 4: Simplify right side
    36,454x = 3,158,327,601
  5. Step 5: Solve for x
    x = 3,158,327,601/36,454
  6. Step 6: Final answer
    x = 86,638.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.