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Finding the Third Proportional to 35,482 and 54,939

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Solution

The third proportional to 35,482 and 54,939 is: 85,065.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,482 : 54,939 = 54,939 : x
  2. Step 2: Convert to fraction form
    35,482/54,939 = 54,939/x
  3. Step 3: Cross multiply
    35,482x = 54,939 × 54,939
  4. Step 4: Simplify right side
    35,482x = 3,018,293,721
  5. Step 5: Solve for x
    x = 3,018,293,721/35,482
  6. Step 6: Final answer
    x = 85,065.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.