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Finding the Third Proportional to 35,274 and 54,595

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Solution

The third proportional to 35,274 and 54,595 is: 84,498.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,274 : 54,595 = 54,595 : x
  2. Step 2: Convert to fraction form
    35,274/54,595 = 54,595/x
  3. Step 3: Cross multiply
    35,274x = 54,595 × 54,595
  4. Step 4: Simplify right side
    35,274x = 2,980,614,025
  5. Step 5: Solve for x
    x = 2,980,614,025/35,274
  6. Step 6: Final answer
    x = 84,498.90

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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.