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Finding the Third Proportional to 10,647.50 and 21,978

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Solution

The third proportional to 10,647.50 and 21,978 is: 45,365.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.50 : 21,978 = 21,978 : x
  2. Step 2: Convert to fraction form
    10,647.50/21,978 = 21,978/x
  3. Step 3: Cross multiply
    10,647.50x = 21,978 × 21,978
  4. Step 4: Simplify right side
    10,647.50x = 483,032,484
  5. Step 5: Solve for x
    x = 483,032,484/10,647.50
  6. Step 6: Final answer
    x = 45,365.81

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.