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Finding the Third Proportional to 35,677 and 84,523

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Solution

The third proportional to 35,677 and 84,523 is: 200,244.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,677 : 84,523 = 84,523 : x
  2. Step 2: Convert to fraction form
    35,677/84,523 = 84,523/x
  3. Step 3: Cross multiply
    35,677x = 84,523 × 84,523
  4. Step 4: Simplify right side
    35,677x = 7,144,137,529
  5. Step 5: Solve for x
    x = 7,144,137,529/35,677
  6. Step 6: Final answer
    x = 200,244.91

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.