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Finding the Third Proportional to 35,634 and 53,687

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Solution

The third proportional to 35,634 and 53,687 is: 80,886.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,634 : 53,687 = 53,687 : x
  2. Step 2: Convert to fraction form
    35,634/53,687 = 53,687/x
  3. Step 3: Cross multiply
    35,634x = 53,687 × 53,687
  4. Step 4: Simplify right side
    35,634x = 2,882,293,969
  5. Step 5: Solve for x
    x = 2,882,293,969/35,634
  6. Step 6: Final answer
    x = 80,886.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.