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Finding the Third Proportional to 10,647.56 and 21,978.56

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Solution

The third proportional to 10,647.56 and 21,978.56 is: 45,367.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.56 : 21,978.56 = 21,978.56 : x
  2. Step 2: Convert to fraction form
    10,647.56/21,978.56 = 21,978.56/x
  3. Step 3: Cross multiply
    10,647.56x = 21,978.56 × 21,978.56
  4. Step 4: Simplify right side
    10,647.56x = 483,057,209.57
  5. Step 5: Solve for x
    x = 483,057,209.57/10,647.56
  6. Step 6: Final answer
    x = 45,367.87

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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.