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Finding the Third Proportional to 12,980.53 and 28,363.78

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Solution

The third proportional to 12,980.53 and 28,363.78 is: 61,977.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980.53 : 28,363.78 = 28,363.78 : x
  2. Step 2: Convert to fraction form
    12,980.53/28,363.78 = 28,363.78/x
  3. Step 3: Cross multiply
    12,980.53x = 28,363.78 × 28,363.78
  4. Step 4: Simplify right side
    12,980.53x = 804,504,086.80
  5. Step 5: Solve for x
    x = 804,504,086.80/12,980.53
  6. Step 6: Final answer
    x = 61,977.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.