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Finding the Third Proportional to 38,235 and 59,057

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Solution

The third proportional to 38,235 and 59,057 is: 91,218.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,235 : 59,057 = 59,057 : x
  2. Step 2: Convert to fraction form
    38,235/59,057 = 59,057/x
  3. Step 3: Cross multiply
    38,235x = 59,057 × 59,057
  4. Step 4: Simplify right side
    38,235x = 3,487,729,249
  5. Step 5: Solve for x
    x = 3,487,729,249/38,235
  6. Step 6: Final answer
    x = 91,218.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.