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Finding the Third Proportional to 36,416 and 54,958

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Solution

The third proportional to 36,416 and 54,958 is: 82,941.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,416 : 54,958 = 54,958 : x
  2. Step 2: Convert to fraction form
    36,416/54,958 = 54,958/x
  3. Step 3: Cross multiply
    36,416x = 54,958 × 54,958
  4. Step 4: Simplify right side
    36,416x = 3,020,381,764
  5. Step 5: Solve for x
    x = 3,020,381,764/36,416
  6. Step 6: Final answer
    x = 82,941.06

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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.