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Finding the Third Proportional to 35,228 and 54,610

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Solution

The third proportional to 35,228 and 54,610 is: 84,655.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,228 : 54,610 = 54,610 : x
  2. Step 2: Convert to fraction form
    35,228/54,610 = 54,610/x
  3. Step 3: Cross multiply
    35,228x = 54,610 × 54,610
  4. Step 4: Simplify right side
    35,228x = 2,982,252,100
  5. Step 5: Solve for x
    x = 2,982,252,100/35,228
  6. Step 6: Final answer
    x = 84,655.73

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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.