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Finding the Third Proportional to 2,574.28 and 4,018.04

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Solution

The third proportional to 2,574.28 and 4,018.04 is: 6,271.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.28 : 4,018.04 = 4,018.04 : x
  2. Step 2: Convert to fraction form
    2,574.28/4,018.04 = 4,018.04/x
  3. Step 3: Cross multiply
    2,574.28x = 4,018.04 × 4,018.04
  4. Step 4: Simplify right side
    2,574.28x = 16,144,669.30
  5. Step 5: Solve for x
    x = 16,144,669.30/2,574.28
  6. Step 6: Final answer
    x = 6,271.53

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.