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Finding the Third Proportional to 2,820.38 and 4,017.94

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Solution

The third proportional to 2,820.38 and 4,017.94 is: 5,724.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.38 : 4,017.94 = 4,017.94 : x
  2. Step 2: Convert to fraction form
    2,820.38/4,017.94 = 4,017.94/x
  3. Step 3: Cross multiply
    2,820.38x = 4,017.94 × 4,017.94
  4. Step 4: Simplify right side
    2,820.38x = 16,143,821.75
  5. Step 5: Solve for x
    x = 16,143,821.75/2,820.38
  6. Step 6: Final answer
    x = 5,724.00

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.