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Finding the Third Proportional to 39,191 and 59,607

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Solution

The third proportional to 39,191 and 59,607 is: 90,658.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,191 : 59,607 = 59,607 : x
  2. Step 2: Convert to fraction form
    39,191/59,607 = 59,607/x
  3. Step 3: Cross multiply
    39,191x = 59,607 × 59,607
  4. Step 4: Simplify right side
    39,191x = 3,552,994,449
  5. Step 5: Solve for x
    x = 3,552,994,449/39,191
  6. Step 6: Final answer
    x = 90,658.43

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.