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Finding the Third Proportional to 35,631 and 55,169

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Solution

The third proportional to 35,631 and 55,169 is: 85,420.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,631 : 55,169 = 55,169 : x
  2. Step 2: Convert to fraction form
    35,631/55,169 = 55,169/x
  3. Step 3: Cross multiply
    35,631x = 55,169 × 55,169
  4. Step 4: Simplify right side
    35,631x = 3,043,618,561
  5. Step 5: Solve for x
    x = 3,043,618,561/35,631
  6. Step 6: Final answer
    x = 85,420.52

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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.