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Finding the Third Proportional to 20,776.50 and 45,825.75

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Solution

The third proportional to 20,776.50 and 45,825.75 is: 101,075.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,776.50 : 45,825.75 = 45,825.75 : x
  2. Step 2: Convert to fraction form
    20,776.50/45,825.75 = 45,825.75/x
  3. Step 3: Cross multiply
    20,776.50x = 45,825.75 × 45,825.75
  4. Step 4: Simplify right side
    20,776.50x = 2,099,999,363.06
  5. Step 5: Solve for x
    x = 2,099,999,363.06/20,776.50
  6. Step 6: Final answer
    x = 101,075.70

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.