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Finding the Third Proportional to 2,977.13 and 7,017.56

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Solution

The third proportional to 2,977.13 and 7,017.56 is: 16,541.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.13 : 7,017.56 = 7,017.56 : x
  2. Step 2: Convert to fraction form
    2,977.13/7,017.56 = 7,017.56/x
  3. Step 3: Cross multiply
    2,977.13x = 7,017.56 × 7,017.56
  4. Step 4: Simplify right side
    2,977.13x = 49,246,183.44
  5. Step 5: Solve for x
    x = 49,246,183.44/2,977.13
  6. Step 6: Final answer
    x = 16,541.52

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.