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Finding the Third Proportional to 34,998 and 75,524.25

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Solution

The third proportional to 34,998 and 75,524.25 is: 162,978.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,998 : 75,524.25 = 75,524.25 : x
  2. Step 2: Convert to fraction form
    34,998/75,524.25 = 75,524.25/x
  3. Step 3: Cross multiply
    34,998x = 75,524.25 × 75,524.25
  4. Step 4: Simplify right side
    34,998x = 5,703,912,338.06
  5. Step 5: Solve for x
    x = 5,703,912,338.06/34,998
  6. Step 6: Final answer
    x = 162,978.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.