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Finding the Third Proportional to 35,436 and 54,834

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Solution

The third proportional to 35,436 and 54,834 is: 84,850.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,436 : 54,834 = 54,834 : x
  2. Step 2: Convert to fraction form
    35,436/54,834 = 54,834/x
  3. Step 3: Cross multiply
    35,436x = 54,834 × 54,834
  4. Step 4: Simplify right side
    35,436x = 3,006,767,556
  5. Step 5: Solve for x
    x = 3,006,767,556/35,436
  6. Step 6: Final answer
    x = 84,850.65

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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.