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Finding the Third Proportional to 2,803.97 and 5,059.78

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Solution

The third proportional to 2,803.97 and 5,059.78 is: 9,130.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.97 : 5,059.78 = 5,059.78 : x
  2. Step 2: Convert to fraction form
    2,803.97/5,059.78 = 5,059.78/x
  3. Step 3: Cross multiply
    2,803.97x = 5,059.78 × 5,059.78
  4. Step 4: Simplify right side
    2,803.97x = 25,601,386.30
  5. Step 5: Solve for x
    x = 25,601,386.30/2,803.97
  6. Step 6: Final answer
    x = 9,130.41

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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.