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Finding the Third Proportional to 35,685 and 53,631

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Solution

The third proportional to 35,685 and 53,631 is: 80,602.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,685 : 53,631 = 53,631 : x
  2. Step 2: Convert to fraction form
    35,685/53,631 = 53,631/x
  3. Step 3: Cross multiply
    35,685x = 53,631 × 53,631
  4. Step 4: Simplify right side
    35,685x = 2,876,284,161
  5. Step 5: Solve for x
    x = 2,876,284,161/35,685
  6. Step 6: Final answer
    x = 80,602.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.