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Finding the Third Proportional to 35,243 and 54,687

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Solution

The third proportional to 35,243 and 54,687 is: 84,858.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,243 : 54,687 = 54,687 : x
  2. Step 2: Convert to fraction form
    35,243/54,687 = 54,687/x
  3. Step 3: Cross multiply
    35,243x = 54,687 × 54,687
  4. Step 4: Simplify right side
    35,243x = 2,990,667,969
  5. Step 5: Solve for x
    x = 2,990,667,969/35,243
  6. Step 6: Final answer
    x = 84,858.50

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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.